Finding the Third Proportional to 14,140 and 31,056

Step by Step Solution

1. Step 1: Write the proportion equation
   14,140 : 31,056 = 31,056 : x
2. Step 2: Convert to fraction form
   14,140/31,056 = 31,056/x
3. Step 3: Cross multiply
   14,140x = 31,056 × 31,056
4. Step 4: Simplify right side
   14,140x = 964,475,136
5. Step 5: Solve for x
   x = 964,475,136/14,140
6. Step 6: Final answer
   x = 68,208.99