Finding the Third Proportional to 32,389 and 70,681

Step by Step Solution

1. Step 1: Write the proportion equation
   32,389 : 70,681 = 70,681 : x
2. Step 2: Convert to fraction form
   32,389/70,681 = 70,681/x
3. Step 3: Cross multiply
   32,389x = 70,681 × 70,681
4. Step 4: Simplify right side
   32,389x = 4,995,803,761
5. Step 5: Solve for x
   x = 4,995,803,761/32,389
6. Step 6: Final answer
   x = 154,243.84