Finding the Third Proportional to 17,666 and 37,892

Step by Step Solution

1. Step 1: Write the proportion equation
   17,666 : 37,892 = 37,892 : x
2. Step 2: Convert to fraction form
   17,666/37,892 = 37,892/x
3. Step 3: Cross multiply
   17,666x = 37,892 × 37,892
4. Step 4: Simplify right side
   17,666x = 1,435,803,664
5. Step 5: Solve for x
   x = 1,435,803,664/17,666
6. Step 6: Final answer
   x = 81,274.97