Finding the Third Proportional to 36,174 and 55,665

Step by Step Solution

1. Step 1: Write the proportion equation
   36,174 : 55,665 = 55,665 : x
2. Step 2: Convert to fraction form
   36,174/55,665 = 55,665/x
3. Step 3: Cross multiply
   36,174x = 55,665 × 55,665
4. Step 4: Simplify right side
   36,174x = 3,098,592,225
5. Step 5: Solve for x
   x = 3,098,592,225/36,174
6. Step 6: Final answer
   x = 85,657.99