Finding the Third Proportional to 30,377 and 65,746

Step by Step Solution

1. Step 1: Write the proportion equation
   30,377 : 65,746 = 65,746 : x
2. Step 2: Convert to fraction form
   30,377/65,746 = 65,746/x
3. Step 3: Cross multiply
   30,377x = 65,746 × 65,746
4. Step 4: Simplify right side
   30,377x = 4,322,536,516
5. Step 5: Solve for x
   x = 4,322,536,516/30,377
6. Step 6: Final answer
   x = 142,296.36