Finding the Third Proportional to 9,730.13 and 12,337.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,730.13 : 12,337.31 = 12,337.31 : x
2. Step 2: Convert to fraction form
   9,730.13/12,337.31 = 12,337.31/x
3. Step 3: Cross multiply
   9,730.13x = 12,337.31 × 12,337.31
4. Step 4: Simplify right side
   9,730.13x = 152,209,279.72
5. Step 5: Solve for x
   x = 152,209,279.72/9,730.13
6. Step 6: Final answer
   x = 15,643.10