Finding the Third Proportional to 32,724 and 70,677

Step by Step Solution

1. Step 1: Write the proportion equation
   32,724 : 70,677 = 70,677 : x
2. Step 2: Convert to fraction form
   32,724/70,677 = 70,677/x
3. Step 3: Cross multiply
   32,724x = 70,677 × 70,677
4. Step 4: Simplify right side
   32,724x = 4,995,238,329
5. Step 5: Solve for x
   x = 4,995,238,329/32,724
6. Step 6: Final answer
   x = 152,647.55