Finding the Third Proportional to 19,699 and 42,165

Step by Step Solution

1. Step 1: Write the proportion equation
   19,699 : 42,165 = 42,165 : x
2. Step 2: Convert to fraction form
   19,699/42,165 = 42,165/x
3. Step 3: Cross multiply
   19,699x = 42,165 × 42,165
4. Step 4: Simplify right side
   19,699x = 1,777,887,225
5. Step 5: Solve for x
   x = 1,777,887,225/19,699
6. Step 6: Final answer
   x = 90,252.66