Finding the Third Proportional to 2,152 and 4,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152 : 4,713.50 = 4,713.50 : x
2. Step 2: Convert to fraction form
   2,152/4,713.50 = 4,713.50/x
3. Step 3: Cross multiply
   2,152x = 4,713.50 × 4,713.50
4. Step 4: Simplify right side
   2,152x = 22,217,082.25
5. Step 5: Solve for x
   x = 22,217,082.25/2,152
6. Step 6: Final answer
   x = 10,323.92