Finding the Third Proportional to 46,776 and 71,556

Step by Step Solution

1. Step 1: Write the proportion equation
   46,776 : 71,556 = 71,556 : x
2. Step 2: Convert to fraction form
   46,776/71,556 = 71,556/x
3. Step 3: Cross multiply
   46,776x = 71,556 × 71,556
4. Step 4: Simplify right side
   46,776x = 5,120,261,136
5. Step 5: Solve for x
   x = 5,120,261,136/46,776
6. Step 6: Final answer
   x = 109,463.42