Finding the Third Proportional to 17,830 and 41,172

Step by Step Solution

1. Step 1: Write the proportion equation
   17,830 : 41,172 = 41,172 : x
2. Step 2: Convert to fraction form
   17,830/41,172 = 41,172/x
3. Step 3: Cross multiply
   17,830x = 41,172 × 41,172
4. Step 4: Simplify right side
   17,830x = 1,695,133,584
5. Step 5: Solve for x
   x = 1,695,133,584/17,830
6. Step 6: Final answer
   x = 95,071.99