Finding the Third Proportional to 16,414.50 and 35,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,414.50 : 35,974.50 = 35,974.50 : x
2. Step 2: Convert to fraction form
   16,414.50/35,974.50 = 35,974.50/x
3. Step 3: Cross multiply
   16,414.50x = 35,974.50 × 35,974.50
4. Step 4: Simplify right side
   16,414.50x = 1,294,164,650.25
5. Step 5: Solve for x
   x = 1,294,164,650.25/16,414.50
6. Step 6: Final answer
   x = 78,842.77