Finding the Third Proportional to 15,864 and 22,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,864 : 22,180.50 = 22,180.50 : x
2. Step 2: Convert to fraction form
   15,864/22,180.50 = 22,180.50/x
3. Step 3: Cross multiply
   15,864x = 22,180.50 × 22,180.50
4. Step 4: Simplify right side
   15,864x = 491,974,580.25
5. Step 5: Solve for x
   x = 491,974,580.25/15,864
6. Step 6: Final answer
   x = 31,012.01