Finding the Third Proportional to 5,872.50 and 9,046.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,872.50 : 9,046.69 = 9,046.69 : x
2. Step 2: Convert to fraction form
   5,872.50/9,046.69 = 9,046.69/x
3. Step 3: Cross multiply
   5,872.50x = 9,046.69 × 9,046.69
4. Step 4: Simplify right side
   5,872.50x = 81,842,554.72
5. Step 5: Solve for x
   x = 81,842,554.72/5,872.50
6. Step 6: Final answer
   x = 13,936.58