Finding the Third Proportional to 10,762.50 and 22,281

Step by Step Solution

1. Step 1: Write the proportion equation
   10,762.50 : 22,281 = 22,281 : x
2. Step 2: Convert to fraction form
   10,762.50/22,281 = 22,281/x
3. Step 3: Cross multiply
   10,762.50x = 22,281 × 22,281
4. Step 4: Simplify right side
   10,762.50x = 496,442,961
5. Step 5: Solve for x
   x = 496,442,961/10,762.50
6. Step 6: Final answer
   x = 46,127.10