Finding the Third Proportional to 51,409.69 and 76,691.81

Step by Step Solution

1. Step 1: Write the proportion equation
   51,409.69 : 76,691.81 = 76,691.81 : x
2. Step 2: Convert to fraction form
   51,409.69/76,691.81 = 76,691.81/x
3. Step 3: Cross multiply
   51,409.69x = 76,691.81 × 76,691.81
4. Step 4: Simplify right side
   51,409.69x = 5,881,634,104.54
5. Step 5: Solve for x
   x = 5,881,634,104.54/51,409.69
6. Step 6: Final answer
   x = 114,407.12