Finding the Third Proportional to 7,787.25 and 17,034.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,787.25 : 17,034.75 = 17,034.75 : x
2. Step 2: Convert to fraction form
   7,787.25/17,034.75 = 17,034.75/x
3. Step 3: Cross multiply
   7,787.25x = 17,034.75 × 17,034.75
4. Step 4: Simplify right side
   7,787.25x = 290,182,707.56
5. Step 5: Solve for x
   x = 290,182,707.56/7,787.25
6. Step 6: Final answer
   x = 37,263.82