Finding the Third Proportional to 7,142 and 14,931

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142 : 14,931 = 14,931 : x
2. Step 2: Convert to fraction form
   7,142/14,931 = 14,931/x
3. Step 3: Cross multiply
   7,142x = 14,931 × 14,931
4. Step 4: Simplify right side
   7,142x = 222,934,761
5. Step 5: Solve for x
   x = 222,934,761/7,142
6. Step 6: Final answer
   x = 31,214.61