Finding the Third Proportional to 49,248 and 75,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,248 : 75,775.50 = 75,775.50 : x
2. Step 2: Convert to fraction form
   49,248/75,775.50 = 75,775.50/x
3. Step 3: Cross multiply
   49,248x = 75,775.50 × 75,775.50
4. Step 4: Simplify right side
   49,248x = 5,741,926,400.25
5. Step 5: Solve for x
   x = 5,741,926,400.25/49,248
6. Step 6: Final answer
   x = 116,592.07