Finding the Third Proportional to 48,105 and 71,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,105 : 71,644.50 = 71,644.50 : x
2. Step 2: Convert to fraction form
   48,105/71,644.50 = 71,644.50/x
3. Step 3: Cross multiply
   48,105x = 71,644.50 × 71,644.50
4. Step 4: Simplify right side
   48,105x = 5,132,934,380.25
5. Step 5: Solve for x
   x = 5,132,934,380.25/48,105
6. Step 6: Final answer
   x = 106,702.72