Finding the Third Proportional to 30,627 and 49,140

Step by Step Solution

1. Step 1: Write the proportion equation
   30,627 : 49,140 = 49,140 : x
2. Step 2: Convert to fraction form
   30,627/49,140 = 49,140/x
3. Step 3: Cross multiply
   30,627x = 49,140 × 49,140
4. Step 4: Simplify right side
   30,627x = 2,414,739,600
5. Step 5: Solve for x
   x = 2,414,739,600/30,627
6. Step 6: Final answer
   x = 78,843.49