Finding the Third Proportional to 5,007.38 and 7,637.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,007.38 : 7,637.63 = 7,637.63 : x
2. Step 2: Convert to fraction form
   5,007.38/7,637.63 = 7,637.63/x
3. Step 3: Cross multiply
   5,007.38x = 7,637.63 × 7,637.63
4. Step 4: Simplify right side
   5,007.38x = 58,333,315.64
5. Step 5: Solve for x
   x = 58,333,315.64/5,007.38
6. Step 6: Final answer
   x = 11,649.48