Finding the Third Proportional to 24,826 and 58,556

Step by Step Solution

1. Step 1: Write the proportion equation
   24,826 : 58,556 = 58,556 : x
2. Step 2: Convert to fraction form
   24,826/58,556 = 58,556/x
3. Step 3: Cross multiply
   24,826x = 58,556 × 58,556
4. Step 4: Simplify right side
   24,826x = 3,428,805,136
5. Step 5: Solve for x
   x = 3,428,805,136/24,826
6. Step 6: Final answer
   x = 138,113.48