Finding the Third Proportional to 30,948 and 65,784

Step by Step Solution

1. Step 1: Write the proportion equation
   30,948 : 65,784 = 65,784 : x
2. Step 2: Convert to fraction form
   30,948/65,784 = 65,784/x
3. Step 3: Cross multiply
   30,948x = 65,784 × 65,784
4. Step 4: Simplify right side
   30,948x = 4,327,534,656
5. Step 5: Solve for x
   x = 4,327,534,656/30,948
6. Step 6: Final answer
   x = 139,832.45