Finding the Third Proportional to 5,776.88 and 13,478.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,776.88 : 13,478.63 = 13,478.63 : x
2. Step 2: Convert to fraction form
   5,776.88/13,478.63 = 13,478.63/x
3. Step 3: Cross multiply
   5,776.88x = 13,478.63 × 13,478.63
4. Step 4: Simplify right side
   5,776.88x = 181,673,331.89
5. Step 5: Solve for x
   x = 181,673,331.89/5,776.88
6. Step 6: Final answer
   x = 31,448.38