Finding the Third Proportional to 19,188 and 42,156

Step by Step Solution

1. Step 1: Write the proportion equation
   19,188 : 42,156 = 42,156 : x
2. Step 2: Convert to fraction form
   19,188/42,156 = 42,156/x
3. Step 3: Cross multiply
   19,188x = 42,156 × 42,156
4. Step 4: Simplify right side
   19,188x = 1,777,128,336
5. Step 5: Solve for x
   x = 1,777,128,336/19,188
6. Step 6: Final answer
   x = 92,616.65