Finding the Third Proportional to 32,947 and 72,166

Step by Step Solution

1. Step 1: Write the proportion equation
   32,947 : 72,166 = 72,166 : x
2. Step 2: Convert to fraction form
   32,947/72,166 = 72,166/x
3. Step 3: Cross multiply
   32,947x = 72,166 × 72,166
4. Step 4: Simplify right side
   32,947x = 5,207,931,556
5. Step 5: Solve for x
   x = 5,207,931,556/32,947
6. Step 6: Final answer
   x = 158,069.98