Finding the Third Proportional to 49,696.50 and 77,034.75

Step by Step Solution

1. Step 1: Write the proportion equation
   49,696.50 : 77,034.75 = 77,034.75 : x
2. Step 2: Convert to fraction form
   49,696.50/77,034.75 = 77,034.75/x
3. Step 3: Cross multiply
   49,696.50x = 77,034.75 × 77,034.75
4. Step 4: Simplify right side
   49,696.50x = 5,934,352,707.56
5. Step 5: Solve for x
   x = 5,934,352,707.56/49,696.50
6. Step 6: Final answer
   x = 119,411.88