Finding the Third Proportional to 7,789 and 17,088

Step by Step Solution

1. Step 1: Write the proportion equation
   7,789 : 17,088 = 17,088 : x
2. Step 2: Convert to fraction form
   7,789/17,088 = 17,088/x
3. Step 3: Cross multiply
   7,789x = 17,088 × 17,088
4. Step 4: Simplify right side
   7,789x = 291,999,744
5. Step 5: Solve for x
   x = 291,999,744/7,789
6. Step 6: Final answer
   x = 37,488.73