Finding the Third Proportional to 25,255 and 37,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,255 : 37,882.50 = 37,882.50 : x
2. Step 2: Convert to fraction form
   25,255/37,882.50 = 37,882.50/x
3. Step 3: Cross multiply
   25,255x = 37,882.50 × 37,882.50
4. Step 4: Simplify right side
   25,255x = 1,435,083,806.25
5. Step 5: Solve for x
   x = 1,435,083,806.25/25,255
6. Step 6: Final answer
   x = 56,823.75