Finding the Third Proportional to 7,788 and 17,085

Step by Step Solution

1. Step 1: Write the proportion equation
   7,788 : 17,085 = 17,085 : x
2. Step 2: Convert to fraction form
   7,788/17,085 = 17,085/x
3. Step 3: Cross multiply
   7,788x = 17,085 × 17,085
4. Step 4: Simplify right side
   7,788x = 291,897,225
5. Step 5: Solve for x
   x = 291,897,225/7,788
6. Step 6: Final answer
   x = 37,480.38