Finding the Third Proportional to 41,978.25 and 74,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,978.25 : 74,722.50 = 74,722.50 : x
2. Step 2: Convert to fraction form
   41,978.25/74,722.50 = 74,722.50/x
3. Step 3: Cross multiply
   41,978.25x = 74,722.50 × 74,722.50
4. Step 4: Simplify right side
   41,978.25x = 5,583,452,006.25
5. Step 5: Solve for x
   x = 5,583,452,006.25/41,978.25
6. Step 6: Final answer
   x = 133,008.21