Finding the Third Proportional to 10,085.50 and 22,162

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.50 : 22,162 = 22,162 : x
2. Step 2: Convert to fraction form
   10,085.50/22,162 = 22,162/x
3. Step 3: Cross multiply
   10,085.50x = 22,162 × 22,162
4. Step 4: Simplify right side
   10,085.50x = 491,154,244
5. Step 5: Solve for x
   x = 491,154,244/10,085.50
6. Step 6: Final answer
   x = 48,699.05