Finding the Third Proportional to 7,136.02 and 10,142.61

Step by Step Solution

1. Step 1: Write the proportion equation
   7,136.02 : 10,142.61 = 10,142.61 : x
2. Step 2: Convert to fraction form
   7,136.02/10,142.61 = 10,142.61/x
3. Step 3: Cross multiply
   7,136.02x = 10,142.61 × 10,142.61
4. Step 4: Simplify right side
   7,136.02x = 102,872,604.17
5. Step 5: Solve for x
   x = 102,872,604.17/7,136.02
6. Step 6: Final answer
   x = 14,415.97