Finding the Third Proportional to 22,114 and 31,262

Step by Step Solution

1. Step 1: Write the proportion equation
   22,114 : 31,262 = 31,262 : x
2. Step 2: Convert to fraction form
   22,114/31,262 = 31,262/x
3. Step 3: Cross multiply
   22,114x = 31,262 × 31,262
4. Step 4: Simplify right side
   22,114x = 977,312,644
5. Step 5: Solve for x
   x = 977,312,644/22,114
6. Step 6: Final answer
   x = 44,194.30