Finding the Third Proportional to 32,956 and 72,464

Step by Step Solution

1. Step 1: Write the proportion equation
   32,956 : 72,464 = 72,464 : x
2. Step 2: Convert to fraction form
   32,956/72,464 = 72,464/x
3. Step 3: Cross multiply
   32,956x = 72,464 × 72,464
4. Step 4: Simplify right side
   32,956x = 5,251,031,296
5. Step 5: Solve for x
   x = 5,251,031,296/32,956
6. Step 6: Final answer
   x = 159,334.61