Finding the Third Proportional to 32,465 and 67,426

Step by Step Solution

1. Step 1: Write the proportion equation
   32,465 : 67,426 = 67,426 : x
2. Step 2: Convert to fraction form
   32,465/67,426 = 67,426/x
3. Step 3: Cross multiply
   32,465x = 67,426 × 67,426
4. Step 4: Simplify right side
   32,465x = 4,546,265,476
5. Step 5: Solve for x
   x = 4,546,265,476/32,465
6. Step 6: Final answer
   x = 140,035.90