Finding the Third Proportional to 30,976 and 65,948

Step by Step Solution

1. Step 1: Write the proportion equation
   30,976 : 65,948 = 65,948 : x
2. Step 2: Convert to fraction form
   30,976/65,948 = 65,948/x
3. Step 3: Cross multiply
   30,976x = 65,948 × 65,948
4. Step 4: Simplify right side
   30,976x = 4,349,138,704
5. Step 5: Solve for x
   x = 4,349,138,704/30,976
6. Step 6: Final answer
   x = 140,403.50