Finding the Third Proportional to 49,521 and 74,288.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,521 : 74,288.25 = 74,288.25 : x
2. Step 2: Convert to fraction form
   49,521/74,288.25 = 74,288.25/x
3. Step 3: Cross multiply
   49,521x = 74,288.25 × 74,288.25
4. Step 4: Simplify right side
   49,521x = 5,518,744,088.06
5. Step 5: Solve for x
   x = 5,518,744,088.06/49,521
6. Step 6: Final answer
   x = 111,442.50