Finding the Third Proportional to 8,400 and 17,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,400 : 17,662.50 = 17,662.50 : x
2. Step 2: Convert to fraction form
   8,400/17,662.50 = 17,662.50/x
3. Step 3: Cross multiply
   8,400x = 17,662.50 × 17,662.50
4. Step 4: Simplify right side
   8,400x = 311,963,906.25
5. Step 5: Solve for x
   x = 311,963,906.25/8,400
6. Step 6: Final answer
   x = 37,138.56