Finding the Third Proportional to 6,243 and 13,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,243 : 13,582.50 = 13,582.50 : x
2. Step 2: Convert to fraction form
   6,243/13,582.50 = 13,582.50/x
3. Step 3: Cross multiply
   6,243x = 13,582.50 × 13,582.50
4. Step 4: Simplify right side
   6,243x = 184,484,306.25
5. Step 5: Solve for x
   x = 184,484,306.25/6,243
6. Step 6: Final answer
   x = 29,550.59