Finding the Third Proportional to 40,768 and 62,784

Step by Step Solution

1. Step 1: Write the proportion equation
   40,768 : 62,784 = 62,784 : x
2. Step 2: Convert to fraction form
   40,768/62,784 = 62,784/x
3. Step 3: Cross multiply
   40,768x = 62,784 × 62,784
4. Step 4: Simplify right side
   40,768x = 3,941,830,656
5. Step 5: Solve for x
   x = 3,941,830,656/40,768
6. Step 6: Final answer
   x = 96,689.33