Finding the Third Proportional to 3,892.50 and 8,331.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.50 : 8,331.50 = 8,331.50 : x
2. Step 2: Convert to fraction form
   3,892.50/8,331.50 = 8,331.50/x
3. Step 3: Cross multiply
   3,892.50x = 8,331.50 × 8,331.50
4. Step 4: Simplify right side
   3,892.50x = 69,413,892.25
5. Step 5: Solve for x
   x = 69,413,892.25/3,892.50
6. Step 6: Final answer
   x = 17,832.73