Finding the Third Proportional to 1,646 and 3,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,646 : 3,588.50 = 3,588.50 : x
2. Step 2: Convert to fraction form
   1,646/3,588.50 = 3,588.50/x
3. Step 3: Cross multiply
   1,646x = 3,588.50 × 3,588.50
4. Step 4: Simplify right side
   1,646x = 12,877,332.25
5. Step 5: Solve for x
   x = 12,877,332.25/1,646
6. Step 6: Final answer
   x = 7,823.41