Finding the Third Proportional to 13,942.13 and 21,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   13,942.13 : 21,406.78 = 21,406.78 : x
2. Step 2: Convert to fraction form
   13,942.13/21,406.78 = 21,406.78/x
3. Step 3: Cross multiply
   13,942.13x = 21,406.78 × 21,406.78
4. Step 4: Simplify right side
   13,942.13x = 458,250,283.49
5. Step 5: Solve for x
   x = 458,250,283.49/13,942.13
6. Step 6: Final answer
   x = 32,868.04