Finding the Third Proportional to 17,766 and 26,091

Step by Step Solution

1. Step 1: Write the proportion equation
   17,766 : 26,091 = 26,091 : x
2. Step 2: Convert to fraction form
   17,766/26,091 = 26,091/x
3. Step 3: Cross multiply
   17,766x = 26,091 × 26,091
4. Step 4: Simplify right side
   17,766x = 680,740,281
5. Step 5: Solve for x
   x = 680,740,281/17,766
6. Step 6: Final answer
   x = 38,317.03