Finding the Third Proportional to 2,386.50 and 5,642.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.50 : 5,642.63 = 5,642.63 : x
2. Step 2: Convert to fraction form
   2,386.50/5,642.63 = 5,642.63/x
3. Step 3: Cross multiply
   2,386.50x = 5,642.63 × 5,642.63
4. Step 4: Simplify right side
   2,386.50x = 31,839,216.89
5. Step 5: Solve for x
   x = 31,839,216.89/2,386.50
6. Step 6: Final answer
   x = 13,341.39