Finding the Third Proportional to 17,782.50 and 26,016

Step by Step Solution

1. Step 1: Write the proportion equation
   17,782.50 : 26,016 = 26,016 : x
2. Step 2: Convert to fraction form
   17,782.50/26,016 = 26,016/x
3. Step 3: Cross multiply
   17,782.50x = 26,016 × 26,016
4. Step 4: Simplify right side
   17,782.50x = 676,832,256
5. Step 5: Solve for x
   x = 676,832,256/17,782.50
6. Step 6: Final answer
   x = 38,061.70