Finding the Third Proportional to 49,488 and 74,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,488 : 74,653.50 = 74,653.50 : x
2. Step 2: Convert to fraction form
   49,488/74,653.50 = 74,653.50/x
3. Step 3: Cross multiply
   49,488x = 74,653.50 × 74,653.50
4. Step 4: Simplify right side
   49,488x = 5,573,145,062.25
5. Step 5: Solve for x
   x = 5,573,145,062.25/49,488
6. Step 6: Final answer
   x = 112,616.09