Finding the Third Proportional to 32,003 and 67,696

Step by Step Solution

1. Step 1: Write the proportion equation
   32,003 : 67,696 = 67,696 : x
2. Step 2: Convert to fraction form
   32,003/67,696 = 67,696/x
3. Step 3: Cross multiply
   32,003x = 67,696 × 67,696
4. Step 4: Simplify right side
   32,003x = 4,582,748,416
5. Step 5: Solve for x
   x = 4,582,748,416/32,003
6. Step 6: Final answer
   x = 143,197.46