Finding the Third Proportional to 784.31 and 1,590.56

Step by Step Solution

1. Step 1: Write the proportion equation
   784.31 : 1,590.56 = 1,590.56 : x
2. Step 2: Convert to fraction form
   784.31/1,590.56 = 1,590.56/x
3. Step 3: Cross multiply
   784.31x = 1,590.56 × 1,590.56
4. Step 4: Simplify right side
   784.31x = 2,529,889.07
5. Step 5: Solve for x
   x = 2,529,889.07/784.31
6. Step 6: Final answer
   x = 3,225.61