Finding the Third Proportional to 34,913,311,074 and 76,586,019,012

Step by Step Solution

1. Step 1: Write the proportion equation
   34,913,311,074 : 76,586,019,012 = 76,586,019,012 : x
2. Step 2: Convert to fraction form
   34,913,311,074/76,586,019,012 = 76,586,019,012/x
3. Step 3: Cross multiply
   34,913,311,074x = 76,586,019,012 × 76,586,019,012
4. Step 4: Simplify right side
   34,913,311,074x = 5,865,418,308,106,425,729,024
5. Step 5: Solve for x
   x = 5,865,418,308,106,425,729,024/34,913,311,074
6. Step 6: Final answer
   x = 167,999,485,802.84