Finding the Third Proportional to 32,434 and 67,298

Step by Step Solution

1. Step 1: Write the proportion equation
   32,434 : 67,298 = 67,298 : x
2. Step 2: Convert to fraction form
   32,434/67,298 = 67,298/x
3. Step 3: Cross multiply
   32,434x = 67,298 × 67,298
4. Step 4: Simplify right side
   32,434x = 4,529,020,804
5. Step 5: Solve for x
   x = 4,529,020,804/32,434
6. Step 6: Final answer
   x = 139,638.06