Finding the Third Proportional to 2,384.63 and 5,166.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.63 : 5,166.25 = 5,166.25 : x
2. Step 2: Convert to fraction form
   2,384.63/5,166.25 = 5,166.25/x
3. Step 3: Cross multiply
   2,384.63x = 5,166.25 × 5,166.25
4. Step 4: Simplify right side
   2,384.63x = 26,690,139.06
5. Step 5: Solve for x
   x = 26,690,139.06/2,384.63
6. Step 6: Final answer
   x = 11,192.59