Finding the Third Proportional to 49,102 and 76,813

Step by Step Solution

1. Step 1: Write the proportion equation
   49,102 : 76,813 = 76,813 : x
2. Step 2: Convert to fraction form
   49,102/76,813 = 76,813/x
3. Step 3: Cross multiply
   49,102x = 76,813 × 76,813
4. Step 4: Simplify right side
   49,102x = 5,900,236,969
5. Step 5: Solve for x
   x = 5,900,236,969/49,102
6. Step 6: Final answer
   x = 120,162.86