Finding the Third Proportional to 14,906 and 37,035

Step by Step Solution

1. Step 1: Write the proportion equation
   14,906 : 37,035 = 37,035 : x
2. Step 2: Convert to fraction form
   14,906/37,035 = 37,035/x
3. Step 3: Cross multiply
   14,906x = 37,035 × 37,035
4. Step 4: Simplify right side
   14,906x = 1,371,591,225
5. Step 5: Solve for x
   x = 1,371,591,225/14,906
6. Step 6: Final answer
   x = 92,016.05