Finding the Third Proportional to 10,215 and 14,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215 : 14,698.50 = 14,698.50 : x
2. Step 2: Convert to fraction form
   10,215/14,698.50 = 14,698.50/x
3. Step 3: Cross multiply
   10,215x = 14,698.50 × 14,698.50
4. Step 4: Simplify right side
   10,215x = 216,045,902.25
5. Step 5: Solve for x
   x = 216,045,902.25/10,215
6. Step 6: Final answer
   x = 21,149.87