Finding the Third Proportional to 42,034 and 63,206

Step by Step Solution

1. Step 1: Write the proportion equation
   42,034 : 63,206 = 63,206 : x
2. Step 2: Convert to fraction form
   42,034/63,206 = 63,206/x
3. Step 3: Cross multiply
   42,034x = 63,206 × 63,206
4. Step 4: Simplify right side
   42,034x = 3,994,998,436
5. Step 5: Solve for x
   x = 3,994,998,436/42,034
6. Step 6: Final answer
   x = 95,042.07