Finding the Third Proportional to 13,770 and 19,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,770 : 19,159.50 = 19,159.50 : x
2. Step 2: Convert to fraction form
   13,770/19,159.50 = 19,159.50/x
3. Step 3: Cross multiply
   13,770x = 19,159.50 × 19,159.50
4. Step 4: Simplify right side
   13,770x = 367,086,440.25
5. Step 5: Solve for x
   x = 367,086,440.25/13,770
6. Step 6: Final answer
   x = 26,658.42