Finding the Third Proportional to 31,325 and 48,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,325 : 48,579.50 = 48,579.50 : x
2. Step 2: Convert to fraction form
   31,325/48,579.50 = 48,579.50/x
3. Step 3: Cross multiply
   31,325x = 48,579.50 × 48,579.50
4. Step 4: Simplify right side
   31,325x = 2,359,967,820.25
5. Step 5: Solve for x
   x = 2,359,967,820.25/31,325
6. Step 6: Final answer
   x = 75,338.16