Finding the Third Proportional to 5,807.25 and 12,434.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,807.25 : 12,434.63 = 12,434.63 : x
2. Step 2: Convert to fraction form
   5,807.25/12,434.63 = 12,434.63/x
3. Step 3: Cross multiply
   5,807.25x = 12,434.63 × 12,434.63
4. Step 4: Simplify right side
   5,807.25x = 154,619,898.89
5. Step 5: Solve for x
   x = 154,619,898.89/5,807.25
6. Step 6: Final answer
   x = 26,625.32