Finding the Third Proportional to 55,680.50 and 75,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,680.50 : 75,648.25 = 75,648.25 : x
2. Step 2: Convert to fraction form
   55,680.50/75,648.25 = 75,648.25/x
3. Step 3: Cross multiply
   55,680.50x = 75,648.25 × 75,648.25
4. Step 4: Simplify right side
   55,680.50x = 5,722,657,728.06
5. Step 5: Solve for x
   x = 5,722,657,728.06/55,680.50
6. Step 6: Final answer
   x = 102,776.69