Finding the Third Proportional to 46,144 and 71,588

Step by Step Solution

1. Step 1: Write the proportion equation
   46,144 : 71,588 = 71,588 : x
2. Step 2: Convert to fraction form
   46,144/71,588 = 71,588/x
3. Step 3: Cross multiply
   46,144x = 71,588 × 71,588
4. Step 4: Simplify right side
   46,144x = 5,124,841,744
5. Step 5: Solve for x
   x = 5,124,841,744/46,144
6. Step 6: Final answer
   x = 111,061.93