Finding the Third Proportional to 10,761.75 and 16,142.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,761.75 : 16,142.06 = 16,142.06 : x
2. Step 2: Convert to fraction form
   10,761.75/16,142.06 = 16,142.06/x
3. Step 3: Cross multiply
   10,761.75x = 16,142.06 × 16,142.06
4. Step 4: Simplify right side
   10,761.75x = 260,566,181.75
5. Step 5: Solve for x
   x = 260,566,181.75/10,761.75
6. Step 6: Final answer
   x = 24,212.25