Finding the Third Proportional to 2,152.83 and 4,561.95

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.83 : 4,561.95 = 4,561.95 : x
2. Step 2: Convert to fraction form
   2,152.83/4,561.95 = 4,561.95/x
3. Step 3: Cross multiply
   2,152.83x = 4,561.95 × 4,561.95
4. Step 4: Simplify right side
   2,152.83x = 20,811,345.03
5. Step 5: Solve for x
   x = 20,811,345.03/2,152.83
6. Step 6: Final answer
   x = 9,666.98