Finding the Third Proportional to 14,476 and 31,722.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,476 : 31,722.75 = 31,722.75 : x
2. Step 2: Convert to fraction form
   14,476/31,722.75 = 31,722.75/x
3. Step 3: Cross multiply
   14,476x = 31,722.75 × 31,722.75
4. Step 4: Simplify right side
   14,476x = 1,006,332,867.56
5. Step 5: Solve for x
   x = 1,006,332,867.56/14,476
6. Step 6: Final answer
   x = 69,517.33