Finding the Third Proportional to 32,803 and 71,911

Step by Step Solution

1. Step 1: Write the proportion equation
   32,803 : 71,911 = 71,911 : x
2. Step 2: Convert to fraction form
   32,803/71,911 = 71,911/x
3. Step 3: Cross multiply
   32,803x = 71,911 × 71,911
4. Step 4: Simplify right side
   32,803x = 5,171,191,921
5. Step 5: Solve for x
   x = 5,171,191,921/32,803
6. Step 6: Final answer
   x = 157,643.87