Finding the Third Proportional to 13,997.81 and 22,566.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,997.81 : 22,566.09 = 22,566.09 : x
2. Step 2: Convert to fraction form
   13,997.81/22,566.09 = 22,566.09/x
3. Step 3: Cross multiply
   13,997.81x = 22,566.09 × 22,566.09
4. Step 4: Simplify right side
   13,997.81x = 509,228,587.13
5. Step 5: Solve for x
   x = 509,228,587.13/13,997.81
6. Step 6: Final answer
   x = 36,379.15