Finding the Third Proportional to 40,746 and 64,831.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,746 : 64,831.50 = 64,831.50 : x
2. Step 2: Convert to fraction form
   40,746/64,831.50 = 64,831.50/x
3. Step 3: Cross multiply
   40,746x = 64,831.50 × 64,831.50
4. Step 4: Simplify right side
   40,746x = 4,203,123,392.25
5. Step 5: Solve for x
   x = 4,203,123,392.25/40,746
6. Step 6: Final answer
   x = 103,154.26