Finding the Third Proportional to 32,829 and 72,041

Step by Step Solution

1. Step 1: Write the proportion equation
   32,829 : 72,041 = 72,041 : x
2. Step 2: Convert to fraction form
   32,829/72,041 = 72,041/x
3. Step 3: Cross multiply
   32,829x = 72,041 × 72,041
4. Step 4: Simplify right side
   32,829x = 5,189,905,681
5. Step 5: Solve for x
   x = 5,189,905,681/32,829
6. Step 6: Final answer
   x = 158,089.06