Finding the Third Proportional to 33,844.50 and 49,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,844.50 : 49,612.50 = 49,612.50 : x
2. Step 2: Convert to fraction form
   33,844.50/49,612.50 = 49,612.50/x
3. Step 3: Cross multiply
   33,844.50x = 49,612.50 × 49,612.50
4. Step 4: Simplify right side
   33,844.50x = 2,461,400,156.25
5. Step 5: Solve for x
   x = 2,461,400,156.25/33,844.50
6. Step 6: Final answer
   x = 72,726.74