Finding the Third Proportional to 5,780.25 and 13,484.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780.25 : 13,484.25 = 13,484.25 : x
2. Step 2: Convert to fraction form
   5,780.25/13,484.25 = 13,484.25/x
3. Step 3: Cross multiply
   5,780.25x = 13,484.25 × 13,484.25
4. Step 4: Simplify right side
   5,780.25x = 181,824,998.06
5. Step 5: Solve for x
   x = 181,824,998.06/5,780.25
6. Step 6: Final answer
   x = 31,456.25