Finding the Third Proportional to 48,380.25 and 74,757.75

Step by Step Solution

1. Step 1: Write the proportion equation
   48,380.25 : 74,757.75 = 74,757.75 : x
2. Step 2: Convert to fraction form
   48,380.25/74,757.75 = 74,757.75/x
3. Step 3: Cross multiply
   48,380.25x = 74,757.75 × 74,757.75
4. Step 4: Simplify right side
   48,380.25x = 5,588,721,185.06
5. Step 5: Solve for x
   x = 5,588,721,185.06/48,380.25
6. Step 6: Final answer
   x = 115,516.58