Finding the Third Proportional to 31,648.50 and 45,231.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,648.50 : 45,231.75 = 45,231.75 : x
2. Step 2: Convert to fraction form
   31,648.50/45,231.75 = 45,231.75/x
3. Step 3: Cross multiply
   31,648.50x = 45,231.75 × 45,231.75
4. Step 4: Simplify right side
   31,648.50x = 2,045,911,208.06
5. Step 5: Solve for x
   x = 2,045,911,208.06/31,648.50
6. Step 6: Final answer
   x = 64,644.81