Finding the Third Proportional to 14,596 and 31,832

Step by Step Solution

1. Step 1: Write the proportion equation
   14,596 : 31,832 = 31,832 : x
2. Step 2: Convert to fraction form
   14,596/31,832 = 31,832/x
3. Step 3: Cross multiply
   14,596x = 31,832 × 31,832
4. Step 4: Simplify right side
   14,596x = 1,013,276,224
5. Step 5: Solve for x
   x = 1,013,276,224/14,596
6. Step 6: Final answer
   x = 69,421.50