Finding the Third Proportional to 6,162.75 and 12,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,162.75 : 12,946.50 = 12,946.50 : x
2. Step 2: Convert to fraction form
   6,162.75/12,946.50 = 12,946.50/x
3. Step 3: Cross multiply
   6,162.75x = 12,946.50 × 12,946.50
4. Step 4: Simplify right side
   6,162.75x = 167,611,862.25
5. Step 5: Solve for x
   x = 167,611,862.25/6,162.75
6. Step 6: Final answer
   x = 27,197.58