Finding the Third Proportional to 1,511.79 and 2,362.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,511.79 : 2,362.61 = 2,362.61 : x
2. Step 2: Convert to fraction form
   1,511.79/2,362.61 = 2,362.61/x
3. Step 3: Cross multiply
   1,511.79x = 2,362.61 × 2,362.61
4. Step 4: Simplify right side
   1,511.79x = 5,581,904.60
5. Step 5: Solve for x
   x = 5,581,904.60/1,511.79
6. Step 6: Final answer
   x = 3,692.25