Finding the Third Proportional to 8,032.50 and 12,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032.50 : 12,361.50 = 12,361.50 : x
2. Step 2: Convert to fraction form
   8,032.50/12,361.50 = 12,361.50/x
3. Step 3: Cross multiply
   8,032.50x = 12,361.50 × 12,361.50
4. Step 4: Simplify right side
   8,032.50x = 152,806,682.25
5. Step 5: Solve for x
   x = 152,806,682.25/8,032.50
6. Step 6: Final answer
   x = 19,023.55