Finding the Third Proportional to 34,566 and 72,690

Step by Step Solution

1. Step 1: Write the proportion equation
   34,566 : 72,690 = 72,690 : x
2. Step 2: Convert to fraction form
   34,566/72,690 = 72,690/x
3. Step 3: Cross multiply
   34,566x = 72,690 × 72,690
4. Step 4: Simplify right side
   34,566x = 5,283,836,100
5. Step 5: Solve for x
   x = 5,283,836,100/34,566
6. Step 6: Final answer
   x = 152,862.24