Finding the Third Proportional to 2,402.63 and 5,147.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402.63 : 5,147.06 = 5,147.06 : x
2. Step 2: Convert to fraction form
   2,402.63/5,147.06 = 5,147.06/x
3. Step 3: Cross multiply
   2,402.63x = 5,147.06 × 5,147.06
4. Step 4: Simplify right side
   2,402.63x = 26,492,252.38
5. Step 5: Solve for x
   x = 26,492,252.38/2,402.63
6. Step 6: Final answer
   x = 11,026.38