Finding the Third Proportional to 25,896 and 37,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,896 : 37,987.50 = 37,987.50 : x
2. Step 2: Convert to fraction form
   25,896/37,987.50 = 37,987.50/x
3. Step 3: Cross multiply
   25,896x = 37,987.50 × 37,987.50
4. Step 4: Simplify right side
   25,896x = 1,443,050,156.25
5. Step 5: Solve for x
   x = 1,443,050,156.25/25,896
6. Step 6: Final answer
   x = 55,724.83