Finding the Third Proportional to 2,846 and 5,332

Step by Step Solution

1. Step 1: Write the proportion equation
   2,846 : 5,332 = 5,332 : x
2. Step 2: Convert to fraction form
   2,846/5,332 = 5,332/x
3. Step 3: Cross multiply
   2,846x = 5,332 × 5,332
4. Step 4: Simplify right side
   2,846x = 28,430,224
5. Step 5: Solve for x
   x = 28,430,224/2,846
6. Step 6: Final answer
   x = 9,989.54