Finding the Third Proportional to 10,147 and 22,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147 : 22,017.50 = 22,017.50 : x
2. Step 2: Convert to fraction form
   10,147/22,017.50 = 22,017.50/x
3. Step 3: Cross multiply
   10,147x = 22,017.50 × 22,017.50
4. Step 4: Simplify right side
   10,147x = 484,770,306.25
5. Step 5: Solve for x
   x = 484,770,306.25/10,147
6. Step 6: Final answer
   x = 47,774.74