Finding the Third Proportional to 2,152.83 and 4,670.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.83 : 4,670.16 = 4,670.16 : x
2. Step 2: Convert to fraction form
   2,152.83/4,670.16 = 4,670.16/x
3. Step 3: Cross multiply
   2,152.83x = 4,670.16 × 4,670.16
4. Step 4: Simplify right side
   2,152.83x = 21,810,359.40
5. Step 5: Solve for x
   x = 21,810,359.40/2,152.83
6. Step 6: Final answer
   x = 10,131.03