Finding the Third Proportional to 6,834.38 and 14,314.22

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834.38 : 14,314.22 = 14,314.22 : x
2. Step 2: Convert to fraction form
   6,834.38/14,314.22 = 14,314.22/x
3. Step 3: Cross multiply
   6,834.38x = 14,314.22 × 14,314.22
4. Step 4: Simplify right side
   6,834.38x = 204,896,858.42
5. Step 5: Solve for x
   x = 204,896,858.42/6,834.38
6. Step 6: Final answer
   x = 29,980.34