Finding the Third Proportional to 49,617.50 and 74,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,617.50 : 74,538.75 = 74,538.75 : x
2. Step 2: Convert to fraction form
   49,617.50/74,538.75 = 74,538.75/x
3. Step 3: Cross multiply
   49,617.50x = 74,538.75 × 74,538.75
4. Step 4: Simplify right side
   49,617.50x = 5,556,025,251.56
5. Step 5: Solve for x
   x = 5,556,025,251.56/49,617.50
6. Step 6: Final answer
   x = 111,977.13