Finding the Third Proportional to 2,500.25 and 5,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,500.25 : 5,385.25 = 5,385.25 : x
2. Step 2: Convert to fraction form
   2,500.25/5,385.25 = 5,385.25/x
3. Step 3: Cross multiply
   2,500.25x = 5,385.25 × 5,385.25
4. Step 4: Simplify right side
   2,500.25x = 29,000,917.56
5. Step 5: Solve for x
   x = 29,000,917.56/2,500.25
6. Step 6: Final answer
   x = 11,599.21