Finding the Third Proportional to 38,782.75 and 62,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,782.75 : 62,223.50 = 62,223.50 : x
2. Step 2: Convert to fraction form
   38,782.75/62,223.50 = 62,223.50/x
3. Step 3: Cross multiply
   38,782.75x = 62,223.50 × 62,223.50
4. Step 4: Simplify right side
   38,782.75x = 3,871,763,952.25
5. Step 5: Solve for x
   x = 3,871,763,952.25/38,782.75
6. Step 6: Final answer
   x = 99,832.11