Finding the Third Proportional to 13,942.13 and 21,724.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,942.13 : 21,724.88 = 21,724.88 : x
2. Step 2: Convert to fraction form
   13,942.13/21,724.88 = 21,724.88/x
3. Step 3: Cross multiply
   13,942.13x = 21,724.88 × 21,724.88
4. Step 4: Simplify right side
   13,942.13x = 471,970,193.77
5. Step 5: Solve for x
   x = 471,970,193.77/13,942.13
6. Step 6: Final answer
   x = 33,852.10