Finding the Third Proportional to 2,307.75 and 4,943.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307.75 : 4,943.63 = 4,943.63 : x
2. Step 2: Convert to fraction form
   2,307.75/4,943.63 = 4,943.63/x
3. Step 3: Cross multiply
   2,307.75x = 4,943.63 × 4,943.63
4. Step 4: Simplify right side
   2,307.75x = 24,439,428.14
5. Step 5: Solve for x
   x = 24,439,428.14/2,307.75
6. Step 6: Final answer
   x = 10,590.15