Finding the Third Proportional to 48,225 and 76,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,225 : 76,738.50 = 76,738.50 : x
2. Step 2: Convert to fraction form
   48,225/76,738.50 = 76,738.50/x
3. Step 3: Cross multiply
   48,225x = 76,738.50 × 76,738.50
4. Step 4: Simplify right side
   48,225x = 5,888,797,382.25
5. Step 5: Solve for x
   x = 5,888,797,382.25/48,225
6. Step 6: Final answer
   x = 122,110.88