Finding the Third Proportional to 22,224 and 31,257

Step by Step Solution

1. Step 1: Write the proportion equation
   22,224 : 31,257 = 31,257 : x
2. Step 2: Convert to fraction form
   22,224/31,257 = 31,257/x
3. Step 3: Cross multiply
   22,224x = 31,257 × 31,257
4. Step 4: Simplify right side
   22,224x = 977,000,049
5. Step 5: Solve for x
   x = 977,000,049/22,224
6. Step 6: Final answer
   x = 43,961.49