Finding the Third Proportional to 48,115.50 and 75,584.25

Step by Step Solution

1. Step 1: Write the proportion equation
   48,115.50 : 75,584.25 = 75,584.25 : x
2. Step 2: Convert to fraction form
   48,115.50/75,584.25 = 75,584.25/x
3. Step 3: Cross multiply
   48,115.50x = 75,584.25 × 75,584.25
4. Step 4: Simplify right side
   48,115.50x = 5,712,978,848.06
5. Step 5: Solve for x
   x = 5,712,978,848.06/48,115.50
6. Step 6: Final answer
   x = 118,734.69