Finding the Third Proportional to 1,680.19 and 3,647.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680.19 : 3,647.95 = 3,647.95 : x
2. Step 2: Convert to fraction form
   1,680.19/3,647.95 = 3,647.95/x
3. Step 3: Cross multiply
   1,680.19x = 3,647.95 × 3,647.95
4. Step 4: Simplify right side
   1,680.19x = 13,307,562.00
5. Step 5: Solve for x
   x = 13,307,562.00/1,680.19
6. Step 6: Final answer
   x = 7,920.28