Finding the Third Proportional to 5,312.25 and 12,531.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,312.25 : 12,531.38 = 12,531.38 : x
2. Step 2: Convert to fraction form
   5,312.25/12,531.38 = 12,531.38/x
3. Step 3: Cross multiply
   5,312.25x = 12,531.38 × 12,531.38
4. Step 4: Simplify right side
   5,312.25x = 157,035,359.39
5. Step 5: Solve for x
   x = 157,035,359.39/5,312.25
6. Step 6: Final answer
   x = 29,560.99