Finding the Third Proportional to 29,538 and 57,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,538 : 57,616.50 = 57,616.50 : x
2. Step 2: Convert to fraction form
   29,538/57,616.50 = 57,616.50/x
3. Step 3: Cross multiply
   29,538x = 57,616.50 × 57,616.50
4. Step 4: Simplify right side
   29,538x = 3,319,661,072.25
5. Step 5: Solve for x
   x = 3,319,661,072.25/29,538
6. Step 6: Final answer
   x = 112,386.12