Finding the Third Proportional to 25,680 and 40,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,680 : 40,747.50 = 40,747.50 : x
2. Step 2: Convert to fraction form
   25,680/40,747.50 = 40,747.50/x
3. Step 3: Cross multiply
   25,680x = 40,747.50 × 40,747.50
4. Step 4: Simplify right side
   25,680x = 1,660,358,756.25
5. Step 5: Solve for x
   x = 1,660,358,756.25/25,680
6. Step 6: Final answer
   x = 64,655.71