Finding the Third Proportional to 14,085 and 30,377

Step by Step Solution

1. Step 1: Write the proportion equation
   14,085 : 30,377 = 30,377 : x
2. Step 2: Convert to fraction form
   14,085/30,377 = 30,377/x
3. Step 3: Cross multiply
   14,085x = 30,377 × 30,377
4. Step 4: Simplify right side
   14,085x = 922,762,129
5. Step 5: Solve for x
   x = 922,762,129/14,085
6. Step 6: Final answer
   x = 65,513.82