Finding the Third Proportional to 14,953 and 31,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,953 : 31,728.50 = 31,728.50 : x
2. Step 2: Convert to fraction form
   14,953/31,728.50 = 31,728.50/x
3. Step 3: Cross multiply
   14,953x = 31,728.50 × 31,728.50
4. Step 4: Simplify right side
   14,953x = 1,006,697,712.25
5. Step 5: Solve for x
   x = 1,006,697,712.25/14,953
6. Step 6: Final answer
   x = 67,324.13