Finding the Third Proportional to 32,490 and 67,533

Step by Step Solution

1. Step 1: Write the proportion equation
   32,490 : 67,533 = 67,533 : x
2. Step 2: Convert to fraction form
   32,490/67,533 = 67,533/x
3. Step 3: Cross multiply
   32,490x = 67,533 × 67,533
4. Step 4: Simplify right side
   32,490x = 4,560,706,089
5. Step 5: Solve for x
   x = 4,560,706,089/32,490
6. Step 6: Final answer
   x = 140,372.61