Finding the Third Proportional to 2,358.50 and 4,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,358.50 : 4,946.50 = 4,946.50 : x
2. Step 2: Convert to fraction form
   2,358.50/4,946.50 = 4,946.50/x
3. Step 3: Cross multiply
   2,358.50x = 4,946.50 × 4,946.50
4. Step 4: Simplify right side
   2,358.50x = 24,467,862.25
5. Step 5: Solve for x
   x = 24,467,862.25/2,358.50
6. Step 6: Final answer
   x = 10,374.33