Finding the Third Proportional to 48,591 and 72,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,591 : 72,634.50 = 72,634.50 : x
2. Step 2: Convert to fraction form
   48,591/72,634.50 = 72,634.50/x
3. Step 3: Cross multiply
   48,591x = 72,634.50 × 72,634.50
4. Step 4: Simplify right side
   48,591x = 5,275,770,590.25
5. Step 5: Solve for x
   x = 5,275,770,590.25/48,591
6. Step 6: Final answer
   x = 108,575.06