Finding the Third Proportional to 48,082.50 and 74,644.31

Step by Step Solution

1. Step 1: Write the proportion equation
   48,082.50 : 74,644.31 = 74,644.31 : x
2. Step 2: Convert to fraction form
   48,082.50/74,644.31 = 74,644.31/x
3. Step 3: Cross multiply
   48,082.50x = 74,644.31 × 74,644.31
4. Step 4: Simplify right side
   48,082.50x = 5,571,773,388.60
5. Step 5: Solve for x
   x = 5,571,773,388.60/48,082.50
6. Step 6: Final answer
   x = 115,879.44