Finding the Third Proportional to 17,775 and 26,014

Step by Step Solution

1. Step 1: Write the proportion equation
   17,775 : 26,014 = 26,014 : x
2. Step 2: Convert to fraction form
   17,775/26,014 = 26,014/x
3. Step 3: Cross multiply
   17,775x = 26,014 × 26,014
4. Step 4: Simplify right side
   17,775x = 676,728,196
5. Step 5: Solve for x
   x = 676,728,196/17,775
6. Step 6: Final answer
   x = 38,071.91