Finding the Third Proportional to 5,285.25 and 12,521.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,285.25 : 12,521.25 = 12,521.25 : x
2. Step 2: Convert to fraction form
   5,285.25/12,521.25 = 12,521.25/x
3. Step 3: Cross multiply
   5,285.25x = 12,521.25 × 12,521.25
4. Step 4: Simplify right side
   5,285.25x = 156,781,701.56
5. Step 5: Solve for x
   x = 156,781,701.56/5,285.25
6. Step 6: Final answer
   x = 29,664.01