Finding the Third Proportional to 49,617 and 74,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,617 : 74,872.50 = 74,872.50 : x
2. Step 2: Convert to fraction form
   49,617/74,872.50 = 74,872.50/x
3. Step 3: Cross multiply
   49,617x = 74,872.50 × 74,872.50
4. Step 4: Simplify right side
   49,617x = 5,605,891,256.25
5. Step 5: Solve for x
   x = 5,605,891,256.25/49,617
6. Step 6: Final answer
   x = 112,983.28