Finding the Third Proportional to 32,709 and 72,819

Step by Step Solution

1. Step 1: Write the proportion equation
   32,709 : 72,819 = 72,819 : x
2. Step 2: Convert to fraction form
   32,709/72,819 = 72,819/x
3. Step 3: Cross multiply
   32,709x = 72,819 × 72,819
4. Step 4: Simplify right side
   32,709x = 5,302,606,761
5. Step 5: Solve for x
   x = 5,302,606,761/32,709
6. Step 6: Final answer
   x = 162,114.61