Finding the Third Proportional to 25,314.50 and 39,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,314.50 : 39,298.50 = 39,298.50 : x
2. Step 2: Convert to fraction form
   25,314.50/39,298.50 = 39,298.50/x
3. Step 3: Cross multiply
   25,314.50x = 39,298.50 × 39,298.50
4. Step 4: Simplify right side
   25,314.50x = 1,544,372,102.25
5. Step 5: Solve for x
   x = 1,544,372,102.25/25,314.50
6. Step 6: Final answer
   x = 61,007.41