Finding the Third Proportional to 19,634 and 42,038

Step by Step Solution

1. Step 1: Write the proportion equation
   19,634 : 42,038 = 42,038 : x
2. Step 2: Convert to fraction form
   19,634/42,038 = 42,038/x
3. Step 3: Cross multiply
   19,634x = 42,038 × 42,038
4. Step 4: Simplify right side
   19,634x = 1,767,193,444
5. Step 5: Solve for x
   x = 1,767,193,444/19,634
6. Step 6: Final answer
   x = 90,006.80