Finding the Third Proportional to 2,178.46 and 4,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,178.46 : 4,696.50 = 4,696.50 : x
2. Step 2: Convert to fraction form
   2,178.46/4,696.50 = 4,696.50/x
3. Step 3: Cross multiply
   2,178.46x = 4,696.50 × 4,696.50
4. Step 4: Simplify right side
   2,178.46x = 22,057,084.73
5. Step 5: Solve for x
   x = 22,057,084.73/2,178.46
6. Step 6: Final answer
   x = 10,125.10