Finding the Third Proportional to 32,042 and 68,254

Step by Step Solution

1. Step 1: Write the proportion equation
   32,042 : 68,254 = 68,254 : x
2. Step 2: Convert to fraction form
   32,042/68,254 = 68,254/x
3. Step 3: Cross multiply
   32,042x = 68,254 × 68,254
4. Step 4: Simplify right side
   32,042x = 4,658,608,516
5. Step 5: Solve for x
   x = 4,658,608,516/32,042
6. Step 6: Final answer
   x = 145,390.69