Finding the Third Proportional to 40,901 and 83,522

Step by Step Solution

1. Step 1: Write the proportion equation
   40,901 : 83,522 = 83,522 : x
2. Step 2: Convert to fraction form
   40,901/83,522 = 83,522/x
3. Step 3: Cross multiply
   40,901x = 83,522 × 83,522
4. Step 4: Simplify right side
   40,901x = 6,975,924,484
5. Step 5: Solve for x
   x = 6,975,924,484/40,901
6. Step 6: Final answer
   x = 170,556.33