Finding the Third Proportional to 49,822.50 and 74,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,822.50 : 74,024.25 = 74,024.25 : x
2. Step 2: Convert to fraction form
   49,822.50/74,024.25 = 74,024.25/x
3. Step 3: Cross multiply
   49,822.50x = 74,024.25 × 74,024.25
4. Step 4: Simplify right side
   49,822.50x = 5,479,589,588.06
5. Step 5: Solve for x
   x = 5,479,589,588.06/49,822.50
6. Step 6: Final answer
   x = 109,982.23