Finding the Third Proportional to 50,068.50 and 77,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,068.50 : 77,974.50 = 77,974.50 : x
2. Step 2: Convert to fraction form
   50,068.50/77,974.50 = 77,974.50/x
3. Step 3: Cross multiply
   50,068.50x = 77,974.50 × 77,974.50
4. Step 4: Simplify right side
   50,068.50x = 6,080,022,650.25
5. Step 5: Solve for x
   x = 6,080,022,650.25/50,068.50
6. Step 6: Final answer
   x = 121,434.09