Finding the Third Proportional to 32,321 and 67,409

Step by Step Solution

1. Step 1: Write the proportion equation
   32,321 : 67,409 = 67,409 : x
2. Step 2: Convert to fraction form
   32,321/67,409 = 67,409/x
3. Step 3: Cross multiply
   32,321x = 67,409 × 67,409
4. Step 4: Simplify right side
   32,321x = 4,543,973,281
5. Step 5: Solve for x
   x = 4,543,973,281/32,321
6. Step 6: Final answer
   x = 140,588.88