Finding the Third Proportional to 35,712 and 72,396

Step by Step Solution

1. Step 1: Write the proportion equation
   35,712 : 72,396 = 72,396 : x
2. Step 2: Convert to fraction form
   35,712/72,396 = 72,396/x
3. Step 3: Cross multiply
   35,712x = 72,396 × 72,396
4. Step 4: Simplify right side
   35,712x = 5,241,180,816
5. Step 5: Solve for x
   x = 5,241,180,816/35,712
6. Step 6: Final answer
   x = 146,762.46