Finding the Third Proportional to 19,197 and 42,102

Step by Step Solution

1. Step 1: Write the proportion equation
   19,197 : 42,102 = 42,102 : x
2. Step 2: Convert to fraction form
   19,197/42,102 = 42,102/x
3. Step 3: Cross multiply
   19,197x = 42,102 × 42,102
4. Step 4: Simplify right side
   19,197x = 1,772,578,404
5. Step 5: Solve for x
   x = 1,772,578,404/19,197
6. Step 6: Final answer
   x = 92,336.22