Finding the Third Proportional to 32,384 and 70,466

Step by Step Solution

1. Step 1: Write the proportion equation
   32,384 : 70,466 = 70,466 : x
2. Step 2: Convert to fraction form
   32,384/70,466 = 70,466/x
3. Step 3: Cross multiply
   32,384x = 70,466 × 70,466
4. Step 4: Simplify right side
   32,384x = 4,965,457,156
5. Step 5: Solve for x
   x = 4,965,457,156/32,384
6. Step 6: Final answer
   x = 153,330.57