Finding the Third Proportional to 37,623 and 50,358

Step by Step Solution

1. Step 1: Write the proportion equation
   37,623 : 50,358 = 50,358 : x
2. Step 2: Convert to fraction form
   37,623/50,358 = 50,358/x
3. Step 3: Cross multiply
   37,623x = 50,358 × 50,358
4. Step 4: Simplify right side
   37,623x = 2,535,928,164
5. Step 5: Solve for x
   x = 2,535,928,164/37,623
6. Step 6: Final answer
   x = 67,403.67