Finding the Third Proportional to 13,224 and 21,262

Step by Step Solution

1. Step 1: Write the proportion equation
   13,224 : 21,262 = 21,262 : x
2. Step 2: Convert to fraction form
   13,224/21,262 = 21,262/x
3. Step 3: Cross multiply
   13,224x = 21,262 × 21,262
4. Step 4: Simplify right side
   13,224x = 452,072,644
5. Step 5: Solve for x
   x = 452,072,644/13,224
6. Step 6: Final answer
   x = 34,185.77