Finding the Third Proportional to 10,592 and 15,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592 : 15,563.50 = 15,563.50 : x
2. Step 2: Convert to fraction form
   10,592/15,563.50 = 15,563.50/x
3. Step 3: Cross multiply
   10,592x = 15,563.50 × 15,563.50
4. Step 4: Simplify right side
   10,592x = 242,222,532.25
5. Step 5: Solve for x
   x = 242,222,532.25/10,592
6. Step 6: Final answer
   x = 22,868.44