Finding the Third Proportional to 5,932.50 and 9,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,932.50 : 9,103.50 = 9,103.50 : x
2. Step 2: Convert to fraction form
   5,932.50/9,103.50 = 9,103.50/x
3. Step 3: Cross multiply
   5,932.50x = 9,103.50 × 9,103.50
4. Step 4: Simplify right side
   5,932.50x = 82,873,712.25
5. Step 5: Solve for x
   x = 82,873,712.25/5,932.50
6. Step 6: Final answer
   x = 13,969.44