Finding the Third Proportional to 49,872 and 74,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,872 : 74,857.50 = 74,857.50 : x
2. Step 2: Convert to fraction form
   49,872/74,857.50 = 74,857.50/x
3. Step 3: Cross multiply
   49,872x = 74,857.50 × 74,857.50
4. Step 4: Simplify right side
   49,872x = 5,603,645,306.25
5. Step 5: Solve for x
   x = 5,603,645,306.25/49,872
6. Step 6: Final answer
   x = 112,360.55