Finding the Third Proportional to 1,651.50 and 3,588.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,651.50 : 3,588.19 = 3,588.19 : x
2. Step 2: Convert to fraction form
   1,651.50/3,588.19 = 3,588.19/x
3. Step 3: Cross multiply
   1,651.50x = 3,588.19 × 3,588.19
4. Step 4: Simplify right side
   1,651.50x = 12,875,089.54
5. Step 5: Solve for x
   x = 12,875,089.54/1,651.50
6. Step 6: Final answer
   x = 7,796.00