Finding the Third Proportional to 36,820.50 and 57,144

Step by Step Solution

1. Step 1: Write the proportion equation
   36,820.50 : 57,144 = 57,144 : x
2. Step 2: Convert to fraction form
   36,820.50/57,144 = 57,144/x
3. Step 3: Cross multiply
   36,820.50x = 57,144 × 57,144
4. Step 4: Simplify right side
   36,820.50x = 3,265,436,736
5. Step 5: Solve for x
   x = 3,265,436,736/36,820.50
6. Step 6: Final answer
   x = 88,685.29