Finding the Third Proportional to 14,802 and 34,938

Step by Step Solution

1. Step 1: Write the proportion equation
   14,802 : 34,938 = 34,938 : x
2. Step 2: Convert to fraction form
   14,802/34,938 = 34,938/x
3. Step 3: Cross multiply
   14,802x = 34,938 × 34,938
4. Step 4: Simplify right side
   14,802x = 1,220,663,844
5. Step 5: Solve for x
   x = 1,220,663,844/14,802
6. Step 6: Final answer
   x = 82,466.14