Finding the Third Proportional to 16,314 and 35,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,314 : 35,737.50 = 35,737.50 : x
2. Step 2: Convert to fraction form
   16,314/35,737.50 = 35,737.50/x
3. Step 3: Cross multiply
   16,314x = 35,737.50 × 35,737.50
4. Step 4: Simplify right side
   16,314x = 1,277,168,906.25
5. Step 5: Solve for x
   x = 1,277,168,906.25/16,314
6. Step 6: Final answer
   x = 78,286.68