Finding the Third Proportional to 30,144 and 61,140

Step by Step Solution

1. Step 1: Write the proportion equation
   30,144 : 61,140 = 61,140 : x
2. Step 2: Convert to fraction form
   30,144/61,140 = 61,140/x
3. Step 3: Cross multiply
   30,144x = 61,140 × 61,140
4. Step 4: Simplify right side
   30,144x = 3,738,099,600
5. Step 5: Solve for x
   x = 3,738,099,600/30,144
6. Step 6: Final answer
   x = 124,008.08