Finding the Third Proportional to 46,080 and 73,496

Step by Step Solution

1. Step 1: Write the proportion equation
   46,080 : 73,496 = 73,496 : x
2. Step 2: Convert to fraction form
   46,080/73,496 = 73,496/x
3. Step 3: Cross multiply
   46,080x = 73,496 × 73,496
4. Step 4: Simplify right side
   46,080x = 5,401,662,016
5. Step 5: Solve for x
   x = 5,401,662,016/46,080
6. Step 6: Final answer
   x = 117,223.57