Finding the Third Proportional to 17,883 and 25,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,883 : 25,792.50 = 25,792.50 : x
2. Step 2: Convert to fraction form
   17,883/25,792.50 = 25,792.50/x
3. Step 3: Cross multiply
   17,883x = 25,792.50 × 25,792.50
4. Step 4: Simplify right side
   17,883x = 665,253,056.25
5. Step 5: Solve for x
   x = 665,253,056.25/17,883
6. Step 6: Final answer
   x = 37,200.31