Finding the Third Proportional to 17,654 and 38,212

Step by Step Solution

1. Step 1: Write the proportion equation
   17,654 : 38,212 = 38,212 : x
2. Step 2: Convert to fraction form
   17,654/38,212 = 38,212/x
3. Step 3: Cross multiply
   17,654x = 38,212 × 38,212
4. Step 4: Simplify right side
   17,654x = 1,460,156,944
5. Step 5: Solve for x
   x = 1,460,156,944/17,654
6. Step 6: Final answer
   x = 82,709.69