Finding the Third Proportional to 19,854 and 27,301.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,854 : 27,301.50 = 27,301.50 : x
2. Step 2: Convert to fraction form
   19,854/27,301.50 = 27,301.50/x
3. Step 3: Cross multiply
   19,854x = 27,301.50 × 27,301.50
4. Step 4: Simplify right side
   19,854x = 745,371,902.25
5. Step 5: Solve for x
   x = 745,371,902.25/19,854
6. Step 6: Final answer
   x = 37,542.66