Finding the Third Proportional to 2,333.25 and 5,126.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,333.25 : 5,126.63 = 5,126.63 : x
2. Step 2: Convert to fraction form
   2,333.25/5,126.63 = 5,126.63/x
3. Step 3: Cross multiply
   2,333.25x = 5,126.63 × 5,126.63
4. Step 4: Simplify right side
   2,333.25x = 26,282,283.89
5. Step 5: Solve for x
   x = 26,282,283.89/2,333.25
6. Step 6: Final answer
   x = 11,264.24