Finding the Third Proportional to 32,709.50 and 72,820

Step by Step Solution

1. Step 1: Write the proportion equation
   32,709.50 : 72,820 = 72,820 : x
2. Step 2: Convert to fraction form
   32,709.50/72,820 = 72,820/x
3. Step 3: Cross multiply
   32,709.50x = 72,820 × 72,820
4. Step 4: Simplify right side
   32,709.50x = 5,302,752,400
5. Step 5: Solve for x
   x = 5,302,752,400/32,709.50
6. Step 6: Final answer
   x = 162,116.58