Finding the Third Proportional to 40,963 and 83,429

Step by Step Solution

1. Step 1: Write the proportion equation
   40,963 : 83,429 = 83,429 : x
2. Step 2: Convert to fraction form
   40,963/83,429 = 83,429/x
3. Step 3: Cross multiply
   40,963x = 83,429 × 83,429
4. Step 4: Simplify right side
   40,963x = 6,960,398,041
5. Step 5: Solve for x
   x = 6,960,398,041/40,963
6. Step 6: Final answer
   x = 169,919.15