Finding the Third Proportional to 20,229 and 31,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,229 : 31,048.50 = 31,048.50 : x
2. Step 2: Convert to fraction form
   20,229/31,048.50 = 31,048.50/x
3. Step 3: Cross multiply
   20,229x = 31,048.50 × 31,048.50
4. Step 4: Simplify right side
   20,229x = 964,009,352.25
5. Step 5: Solve for x
   x = 964,009,352.25/20,229
6. Step 6: Final answer
   x = 47,654.82