Finding the Third Proportional to 31,578 and 68,556

Step by Step Solution

1. Step 1: Write the proportion equation
   31,578 : 68,556 = 68,556 : x
2. Step 2: Convert to fraction form
   31,578/68,556 = 68,556/x
3. Step 3: Cross multiply
   31,578x = 68,556 × 68,556
4. Step 4: Simplify right side
   31,578x = 4,699,925,136
5. Step 5: Solve for x
   x = 4,699,925,136/31,578
6. Step 6: Final answer
   x = 148,835.43