Finding the Third Proportional to 1,776 and 3,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776 : 3,640.50 = 3,640.50 : x
2. Step 2: Convert to fraction form
   1,776/3,640.50 = 3,640.50/x
3. Step 3: Cross multiply
   1,776x = 3,640.50 × 3,640.50
4. Step 4: Simplify right side
   1,776x = 13,253,240.25
5. Step 5: Solve for x
   x = 13,253,240.25/1,776
6. Step 6: Final answer
   x = 7,462.41