Finding the Third Proportional to 23,782.50 and 36,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,782.50 : 36,568.50 = 36,568.50 : x
2. Step 2: Convert to fraction form
   23,782.50/36,568.50 = 36,568.50/x
3. Step 3: Cross multiply
   23,782.50x = 36,568.50 × 36,568.50
4. Step 4: Simplify right side
   23,782.50x = 1,337,255,192.25
5. Step 5: Solve for x
   x = 1,337,255,192.25/23,782.50
6. Step 6: Final answer
   x = 56,228.54