Finding the Third Proportional to 31,993.50 and 49,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,993.50 : 49,802.25 = 49,802.25 : x
2. Step 2: Convert to fraction form
   31,993.50/49,802.25 = 49,802.25/x
3. Step 3: Cross multiply
   31,993.50x = 49,802.25 × 49,802.25
4. Step 4: Simplify right side
   31,993.50x = 2,480,264,105.06
5. Step 5: Solve for x
   x = 2,480,264,105.06/31,993.50
6. Step 6: Final answer
   x = 77,524.00