Finding the Third Proportional to 18,792 and 39,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,792 : 39,406.50 = 39,406.50 : x
2. Step 2: Convert to fraction form
   18,792/39,406.50 = 39,406.50/x
3. Step 3: Cross multiply
   18,792x = 39,406.50 × 39,406.50
4. Step 4: Simplify right side
   18,792x = 1,552,872,242.25
5. Step 5: Solve for x
   x = 1,552,872,242.25/18,792
6. Step 6: Final answer
   x = 82,634.75