Finding the Third Proportional to 35,946.75 and 54,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,946.75 : 54,424.50 = 54,424.50 : x
2. Step 2: Convert to fraction form
   35,946.75/54,424.50 = 54,424.50/x
3. Step 3: Cross multiply
   35,946.75x = 54,424.50 × 54,424.50
4. Step 4: Simplify right side
   35,946.75x = 2,962,026,200.25
5. Step 5: Solve for x
   x = 2,962,026,200.25/35,946.75
6. Step 6: Final answer
   x = 82,400.39