Finding the Third Proportional to 9,314.50 and 20,206

Step by Step Solution

1. Step 1: Write the proportion equation
   9,314.50 : 20,206 = 20,206 : x
2. Step 2: Convert to fraction form
   9,314.50/20,206 = 20,206/x
3. Step 3: Cross multiply
   9,314.50x = 20,206 × 20,206
4. Step 4: Simplify right side
   9,314.50x = 408,282,436
5. Step 5: Solve for x
   x = 408,282,436/9,314.50
6. Step 6: Final answer
   x = 43,833.00