Finding the Third Proportional to 10,762 and 15,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,762 : 15,714.50 = 15,714.50 : x
2. Step 2: Convert to fraction form
   10,762/15,714.50 = 15,714.50/x
3. Step 3: Cross multiply
   10,762x = 15,714.50 × 15,714.50
4. Step 4: Simplify right side
   10,762x = 246,945,510.25
5. Step 5: Solve for x
   x = 246,945,510.25/10,762
6. Step 6: Final answer
   x = 22,946.06