Finding the Third Proportional to 10,700 and 14,094

Step by Step Solution

1. Step 1: Write the proportion equation
   10,700 : 14,094 = 14,094 : x
2. Step 2: Convert to fraction form
   10,700/14,094 = 14,094/x
3. Step 3: Cross multiply
   10,700x = 14,094 × 14,094
4. Step 4: Simplify right side
   10,700x = 198,640,836
5. Step 5: Solve for x
   x = 198,640,836/10,700
6. Step 6: Final answer
   x = 18,564.56