Finding the Third Proportional to 13,838.06 and 22,029.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,838.06 : 22,029.75 = 22,029.75 : x
2. Step 2: Convert to fraction form
   13,838.06/22,029.75 = 22,029.75/x
3. Step 3: Cross multiply
   13,838.06x = 22,029.75 × 22,029.75
4. Step 4: Simplify right side
   13,838.06x = 485,309,885.06
5. Step 5: Solve for x
   x = 485,309,885.06/13,838.06
6. Step 6: Final answer
   x = 35,070.65