Finding the Third Proportional to 5,783.91 and 12,637.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,783.91 : 12,637.27 = 12,637.27 : x
2. Step 2: Convert to fraction form
   5,783.91/12,637.27 = 12,637.27/x
3. Step 3: Cross multiply
   5,783.91x = 12,637.27 × 12,637.27
4. Step 4: Simplify right side
   5,783.91x = 159,700,482.48
5. Step 5: Solve for x
   x = 159,700,482.48/5,783.91
6. Step 6: Final answer
   x = 27,611.18