Finding the Third Proportional to 20,478 and 31,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,478 : 31,474.50 = 31,474.50 : x
2. Step 2: Convert to fraction form
   20,478/31,474.50 = 31,474.50/x
3. Step 3: Cross multiply
   20,478x = 31,474.50 × 31,474.50
4. Step 4: Simplify right side
   20,478x = 990,644,150.25
5. Step 5: Solve for x
   x = 990,644,150.25/20,478
6. Step 6: Final answer
   x = 48,376.02