Finding the Third Proportional to 12,946.50 and 14,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,946.50 : 14,314.50 = 14,314.50 : x
2. Step 2: Convert to fraction form
   12,946.50/14,314.50 = 14,314.50/x
3. Step 3: Cross multiply
   12,946.50x = 14,314.50 × 14,314.50
4. Step 4: Simplify right side
   12,946.50x = 204,904,910.25
5. Step 5: Solve for x
   x = 204,904,910.25/12,946.50
6. Step 6: Final answer
   x = 15,827.05