Finding the Third Proportional to 32,386 and 76,342

Step by Step Solution

1. Step 1: Write the proportion equation
   32,386 : 76,342 = 76,342 : x
2. Step 2: Convert to fraction form
   32,386/76,342 = 76,342/x
3. Step 3: Cross multiply
   32,386x = 76,342 × 76,342
4. Step 4: Simplify right side
   32,386x = 5,828,100,964
5. Step 5: Solve for x
   x = 5,828,100,964/32,386
6. Step 6: Final answer
   x = 179,957.42