Finding the Third Proportional to 32,246 and 72,426

Step by Step Solution

1. Step 1: Write the proportion equation
   32,246 : 72,426 = 72,426 : x
2. Step 2: Convert to fraction form
   32,246/72,426 = 72,426/x
3. Step 3: Cross multiply
   32,246x = 72,426 × 72,426
4. Step 4: Simplify right side
   32,246x = 5,245,525,476
5. Step 5: Solve for x
   x = 5,245,525,476/32,246
6. Step 6: Final answer
   x = 162,672.13