Finding the Third Proportional to 38,509.50 and 57,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,509.50 : 57,199.50 = 57,199.50 : x
2. Step 2: Convert to fraction form
   38,509.50/57,199.50 = 57,199.50/x
3. Step 3: Cross multiply
   38,509.50x = 57,199.50 × 57,199.50
4. Step 4: Simplify right side
   38,509.50x = 3,271,782,800.25
5. Step 5: Solve for x
   x = 3,271,782,800.25/38,509.50
6. Step 6: Final answer
   x = 84,960.41