Finding the Third Proportional to 4,588.31 and 12,209.06

Step by Step Solution

1. Step 1: Write the proportion equation
   4,588.31 : 12,209.06 = 12,209.06 : x
2. Step 2: Convert to fraction form
   4,588.31/12,209.06 = 12,209.06/x
3. Step 3: Cross multiply
   4,588.31x = 12,209.06 × 12,209.06
4. Step 4: Simplify right side
   4,588.31x = 149,061,207.13
5. Step 5: Solve for x
   x = 149,061,207.13/4,588.31
6. Step 6: Final answer
   x = 32,487.15