Finding the Third Proportional to 50,536 and 74,496

Step by Step Solution

1. Step 1: Write the proportion equation
   50,536 : 74,496 = 74,496 : x
2. Step 2: Convert to fraction form
   50,536/74,496 = 74,496/x
3. Step 3: Cross multiply
   50,536x = 74,496 × 74,496
4. Step 4: Simplify right side
   50,536x = 5,549,654,016
5. Step 5: Solve for x
   x = 5,549,654,016/50,536
6. Step 6: Final answer
   x = 109,815.85