Finding the Third Proportional to 7,765.50 and 17,034

Step by Step Solution

1. Step 1: Write the proportion equation
   7,765.50 : 17,034 = 17,034 : x
2. Step 2: Convert to fraction form
   7,765.50/17,034 = 17,034/x
3. Step 3: Cross multiply
   7,765.50x = 17,034 × 17,034
4. Step 4: Simplify right side
   7,765.50x = 290,157,156
5. Step 5: Solve for x
   x = 290,157,156/7,765.50
6. Step 6: Final answer
   x = 37,364.90