Finding the Third Proportional to 784.69 and 1,690.88

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 1,690.88 = 1,690.88 : x
2. Step 2: Convert to fraction form
   784.69/1,690.88 = 1,690.88/x
3. Step 3: Cross multiply
   784.69x = 1,690.88 × 1,690.88
4. Step 4: Simplify right side
   784.69x = 2,859,058.27
5. Step 5: Solve for x
   x = 2,859,058.27/784.69
6. Step 6: Final answer
   x = 3,643.56