Finding the Third Proportional to 20,414.50 and 31,229

Step by Step Solution

1. Step 1: Write the proportion equation
   20,414.50 : 31,229 = 31,229 : x
2. Step 2: Convert to fraction form
   20,414.50/31,229 = 31,229/x
3. Step 3: Cross multiply
   20,414.50x = 31,229 × 31,229
4. Step 4: Simplify right side
   20,414.50x = 975,250,441
5. Step 5: Solve for x
   x = 975,250,441/20,414.50
6. Step 6: Final answer
   x = 47,772.44