Finding the Third Proportional to 25,872.50 and 56,588

Step by Step Solution

1. Step 1: Write the proportion equation
   25,872.50 : 56,588 = 56,588 : x
2. Step 2: Convert to fraction form
   25,872.50/56,588 = 56,588/x
3. Step 3: Cross multiply
   25,872.50x = 56,588 × 56,588
4. Step 4: Simplify right side
   25,872.50x = 3,202,201,744
5. Step 5: Solve for x
   x = 3,202,201,744/25,872.50
6. Step 6: Final answer
   x = 123,768.55