Finding the Third Proportional to 13,741.50 and 19,412.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,741.50 : 19,412.25 = 19,412.25 : x
2. Step 2: Convert to fraction form
   13,741.50/19,412.25 = 19,412.25/x
3. Step 3: Cross multiply
   13,741.50x = 19,412.25 × 19,412.25
4. Step 4: Simplify right side
   13,741.50x = 376,835,450.06
5. Step 5: Solve for x
   x = 376,835,450.06/13,741.50
6. Step 6: Final answer
   x = 27,423.17