Finding the Third Proportional to 11,772 and 15,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,772 : 15,997.50 = 15,997.50 : x
2. Step 2: Convert to fraction form
   11,772/15,997.50 = 15,997.50/x
3. Step 3: Cross multiply
   11,772x = 15,997.50 × 15,997.50
4. Step 4: Simplify right side
   11,772x = 255,920,006.25
5. Step 5: Solve for x
   x = 255,920,006.25/11,772
6. Step 6: Final answer
   x = 21,739.72