Finding the Third Proportional to 30,746 and 65,137

Step by Step Solution

1. Step 1: Write the proportion equation
   30,746 : 65,137 = 65,137 : x
2. Step 2: Convert to fraction form
   30,746/65,137 = 65,137/x
3. Step 3: Cross multiply
   30,746x = 65,137 × 65,137
4. Step 4: Simplify right side
   30,746x = 4,242,828,769
5. Step 5: Solve for x
   x = 4,242,828,769/30,746
6. Step 6: Final answer
   x = 137,996.12