Finding the Third Proportional to 7,506.42 and 10,502.16

Step by Step Solution

1. Step 1: Write the proportion equation
   7,506.42 : 10,502.16 = 10,502.16 : x
2. Step 2: Convert to fraction form
   7,506.42/10,502.16 = 10,502.16/x
3. Step 3: Cross multiply
   7,506.42x = 10,502.16 × 10,502.16
4. Step 4: Simplify right side
   7,506.42x = 110,295,285.90
5. Step 5: Solve for x
   x = 110,295,285.90/7,506.42
6. Step 6: Final answer
   x = 14,693.46