Finding the Third Proportional to 19,188 and 42,837

Step by Step Solution

1. Step 1: Write the proportion equation
   19,188 : 42,837 = 42,837 : x
2. Step 2: Convert to fraction form
   19,188/42,837 = 42,837/x
3. Step 3: Cross multiply
   19,188x = 42,837 × 42,837
4. Step 4: Simplify right side
   19,188x = 1,835,008,569
5. Step 5: Solve for x
   x = 1,835,008,569/19,188
6. Step 6: Final answer
   x = 95,633.13