Finding the Third Proportional to 32,301 and 65,472

Step by Step Solution

1. Step 1: Write the proportion equation
   32,301 : 65,472 = 65,472 : x
2. Step 2: Convert to fraction form
   32,301/65,472 = 65,472/x
3. Step 3: Cross multiply
   32,301x = 65,472 × 65,472
4. Step 4: Simplify right side
   32,301x = 4,286,582,784
5. Step 5: Solve for x
   x = 4,286,582,784/32,301
6. Step 6: Final answer
   x = 132,707.43