Finding the Third Proportional to 7,784.78 and 17,126.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.78 : 17,126.52 = 17,126.52 : x
2. Step 2: Convert to fraction form
   7,784.78/17,126.52 = 17,126.52/x
3. Step 3: Cross multiply
   7,784.78x = 17,126.52 × 17,126.52
4. Step 4: Simplify right side
   7,784.78x = 293,317,570.90
5. Step 5: Solve for x
   x = 293,317,570.90/7,784.78
6. Step 6: Final answer
   x = 37,678.34