Finding the Third Proportional to 31,734.56 and 48,978

Step by Step Solution

1. Step 1: Write the proportion equation
   31,734.56 : 48,978 = 48,978 : x
2. Step 2: Convert to fraction form
   31,734.56/48,978 = 48,978/x
3. Step 3: Cross multiply
   31,734.56x = 48,978 × 48,978
4. Step 4: Simplify right side
   31,734.56x = 2,398,844,484
5. Step 5: Solve for x
   x = 2,398,844,484/31,734.56
6. Step 6: Final answer
   x = 75,590.91