Finding the Third Proportional to 49,756 and 77,038

Step by Step Solution

1. Step 1: Write the proportion equation
   49,756 : 77,038 = 77,038 : x
2. Step 2: Convert to fraction form
   49,756/77,038 = 77,038/x
3. Step 3: Cross multiply
   49,756x = 77,038 × 77,038
4. Step 4: Simplify right side
   49,756x = 5,934,853,444
5. Step 5: Solve for x
   x = 5,934,853,444/49,756
6. Step 6: Final answer
   x = 119,279.15