Finding the Third Proportional to 25,526.25 and 38,315.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,526.25 : 38,315.25 = 38,315.25 : x
2. Step 2: Convert to fraction form
   25,526.25/38,315.25 = 38,315.25/x
3. Step 3: Cross multiply
   25,526.25x = 38,315.25 × 38,315.25
4. Step 4: Simplify right side
   25,526.25x = 1,468,058,382.56
5. Step 5: Solve for x
   x = 1,468,058,382.56/25,526.25
6. Step 6: Final answer
   x = 57,511.71