Finding the Third Proportional to 4,819.50 and 7,637.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,819.50 : 7,637.63 = 7,637.63 : x
2. Step 2: Convert to fraction form
   4,819.50/7,637.63 = 7,637.63/x
3. Step 3: Cross multiply
   4,819.50x = 7,637.63 × 7,637.63
4. Step 4: Simplify right side
   4,819.50x = 58,333,315.64
5. Step 5: Solve for x
   x = 58,333,315.64/4,819.50
6. Step 6: Final answer
   x = 12,103.60