Finding the Third Proportional to 10,135 and 14,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,135 : 14,665.50 = 14,665.50 : x
2. Step 2: Convert to fraction form
   10,135/14,665.50 = 14,665.50/x
3. Step 3: Cross multiply
   10,135x = 14,665.50 × 14,665.50
4. Step 4: Simplify right side
   10,135x = 215,076,890.25
5. Step 5: Solve for x
   x = 215,076,890.25/10,135
6. Step 6: Final answer
   x = 21,221.20