Finding the Third Proportional to 32,884 and 71,780

Step by Step Solution

1. Step 1: Write the proportion equation
   32,884 : 71,780 = 71,780 : x
2. Step 2: Convert to fraction form
   32,884/71,780 = 71,780/x
3. Step 3: Cross multiply
   32,884x = 71,780 × 71,780
4. Step 4: Simplify right side
   32,884x = 5,152,368,400
5. Step 5: Solve for x
   x = 5,152,368,400/32,884
6. Step 6: Final answer
   x = 156,683.14