Finding the Third Proportional to 17,666 and 26,196

Step by Step Solution

1. Step 1: Write the proportion equation
   17,666 : 26,196 = 26,196 : x
2. Step 2: Convert to fraction form
   17,666/26,196 = 26,196/x
3. Step 3: Cross multiply
   17,666x = 26,196 × 26,196
4. Step 4: Simplify right side
   17,666x = 686,230,416
5. Step 5: Solve for x
   x = 686,230,416/17,666
6. Step 6: Final answer
   x = 38,844.70