Finding the Third Proportional to 11,792.50 and 16,023.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,792.50 : 16,023.75 = 16,023.75 : x
2. Step 2: Convert to fraction form
   11,792.50/16,023.75 = 16,023.75/x
3. Step 3: Cross multiply
   11,792.50x = 16,023.75 × 16,023.75
4. Step 4: Simplify right side
   11,792.50x = 256,760,564.06
5. Step 5: Solve for x
   x = 256,760,564.06/11,792.50
6. Step 6: Final answer
   x = 21,773.21