Finding the Third Proportional to 31,779 and 43,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,779 : 43,618.50 = 43,618.50 : x
2. Step 2: Convert to fraction form
   31,779/43,618.50 = 43,618.50/x
3. Step 3: Cross multiply
   31,779x = 43,618.50 × 43,618.50
4. Step 4: Simplify right side
   31,779x = 1,902,573,542.25
5. Step 5: Solve for x
   x = 1,902,573,542.25/31,779
6. Step 6: Final answer
   x = 59,868.89