Finding the Third Proportional to 40,172 and 83,530

Step by Step Solution

1. Step 1: Write the proportion equation
   40,172 : 83,530 = 83,530 : x
2. Step 2: Convert to fraction form
   40,172/83,530 = 83,530/x
3. Step 3: Cross multiply
   40,172x = 83,530 × 83,530
4. Step 4: Simplify right side
   40,172x = 6,977,260,900
5. Step 5: Solve for x
   x = 6,977,260,900/40,172
6. Step 6: Final answer
   x = 173,684.68