Finding the Third Proportional to 27,144 and 65,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,144 : 65,380.50 = 65,380.50 : x
2. Step 2: Convert to fraction form
   27,144/65,380.50 = 65,380.50/x
3. Step 3: Cross multiply
   27,144x = 65,380.50 × 65,380.50
4. Step 4: Simplify right side
   27,144x = 4,274,609,780.25
5. Step 5: Solve for x
   x = 4,274,609,780.25/27,144
6. Step 6: Final answer
   x = 157,478.99