Finding the Third Proportional to 7,784.25 and 17,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784.25 : 17,080.50 = 17,080.50 : x
2. Step 2: Convert to fraction form
   7,784.25/17,080.50 = 17,080.50/x
3. Step 3: Cross multiply
   7,784.25x = 17,080.50 × 17,080.50
4. Step 4: Simplify right side
   7,784.25x = 291,743,480.25
5. Step 5: Solve for x
   x = 291,743,480.25/7,784.25
6. Step 6: Final answer
   x = 37,478.69