Finding the Third Proportional to 11,971.50 and 16,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,971.50 : 16,102.50 = 16,102.50 : x
2. Step 2: Convert to fraction form
   11,971.50/16,102.50 = 16,102.50/x
3. Step 3: Cross multiply
   11,971.50x = 16,102.50 × 16,102.50
4. Step 4: Simplify right side
   11,971.50x = 259,290,506.25
5. Step 5: Solve for x
   x = 259,290,506.25/11,971.50
6. Step 6: Final answer
   x = 21,658.98