Finding the Third Proportional to 42,206 and 59,356

Step by Step Solution

1. Step 1: Write the proportion equation
   42,206 : 59,356 = 59,356 : x
2. Step 2: Convert to fraction form
   42,206/59,356 = 59,356/x
3. Step 3: Cross multiply
   42,206x = 59,356 × 59,356
4. Step 4: Simplify right side
   42,206x = 3,523,134,736
5. Step 5: Solve for x
   x = 3,523,134,736/42,206
6. Step 6: Final answer
   x = 83,474.74