Finding the Third Proportional to 31,978.50 and 50,052

Step by Step Solution

1. Step 1: Write the proportion equation
   31,978.50 : 50,052 = 50,052 : x
2. Step 2: Convert to fraction form
   31,978.50/50,052 = 50,052/x
3. Step 3: Cross multiply
   31,978.50x = 50,052 × 50,052
4. Step 4: Simplify right side
   31,978.50x = 2,505,202,704
5. Step 5: Solve for x
   x = 2,505,202,704/31,978.50
6. Step 6: Final answer
   x = 78,340.22