Finding the Third Proportional to 1,585.41 and 3,487.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.41 : 3,487.22 = 3,487.22 : x
2. Step 2: Convert to fraction form
   1,585.41/3,487.22 = 3,487.22/x
3. Step 3: Cross multiply
   1,585.41x = 3,487.22 × 3,487.22
4. Step 4: Simplify right side
   1,585.41x = 12,160,694.61
5. Step 5: Solve for x
   x = 12,160,694.61/1,585.41
6. Step 6: Final answer
   x = 7,670.40