Finding the Third Proportional to 34,047 and 72,770

Step by Step Solution

1. Step 1: Write the proportion equation
   34,047 : 72,770 = 72,770 : x
2. Step 2: Convert to fraction form
   34,047/72,770 = 72,770/x
3. Step 3: Cross multiply
   34,047x = 72,770 × 72,770
4. Step 4: Simplify right side
   34,047x = 5,295,472,900
5. Step 5: Solve for x
   x = 5,295,472,900/34,047
6. Step 6: Final answer
   x = 155,534.20