Finding the Third Proportional to 1,590.75 and 3,416.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,590.75 : 3,416.56 = 3,416.56 : x
2. Step 2: Convert to fraction form
   1,590.75/3,416.56 = 3,416.56/x
3. Step 3: Cross multiply
   1,590.75x = 3,416.56 × 3,416.56
4. Step 4: Simplify right side
   1,590.75x = 11,672,899.32
5. Step 5: Solve for x
   x = 11,672,899.32/1,590.75
6. Step 6: Final answer
   x = 7,337.98