Finding the Third Proportional to 5,877.62 and 9,111.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,877.62 : 9,111.16 = 9,111.16 : x
2. Step 2: Convert to fraction form
   5,877.62/9,111.16 = 9,111.16/x
3. Step 3: Cross multiply
   5,877.62x = 9,111.16 × 9,111.16
4. Step 4: Simplify right side
   5,877.62x = 83,013,150.42
5. Step 5: Solve for x
   x = 83,013,150.42/5,877.62
6. Step 6: Final answer
   x = 14,123.61