Finding the Third Proportional to 6,232 and 13,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,232 : 13,759.50 = 13,759.50 : x
2. Step 2: Convert to fraction form
   6,232/13,759.50 = 13,759.50/x
3. Step 3: Cross multiply
   6,232x = 13,759.50 × 13,759.50
4. Step 4: Simplify right side
   6,232x = 189,323,840.25
5. Step 5: Solve for x
   x = 189,323,840.25/6,232
6. Step 6: Final answer
   x = 30,379.31