Finding the Third Proportional to 10,272 and 22,185

Step by Step Solution

1. Step 1: Write the proportion equation
   10,272 : 22,185 = 22,185 : x
2. Step 2: Convert to fraction form
   10,272/22,185 = 22,185/x
3. Step 3: Cross multiply
   10,272x = 22,185 × 22,185
4. Step 4: Simplify right side
   10,272x = 492,174,225
5. Step 5: Solve for x
   x = 492,174,225/10,272
6. Step 6: Final answer
   x = 47,914.16