Finding the Third Proportional to 25,971 and 38,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,971 : 38,986.50 = 38,986.50 : x
2. Step 2: Convert to fraction form
   25,971/38,986.50 = 38,986.50/x
3. Step 3: Cross multiply
   25,971x = 38,986.50 × 38,986.50
4. Step 4: Simplify right side
   25,971x = 1,519,947,182.25
5. Step 5: Solve for x
   x = 1,519,947,182.25/25,971
6. Step 6: Final answer
   x = 58,524.78