Finding the Third Proportional to 30,788 and 65,788

Step by Step Solution

1. Step 1: Write the proportion equation
   30,788 : 65,788 = 65,788 : x
2. Step 2: Convert to fraction form
   30,788/65,788 = 65,788/x
3. Step 3: Cross multiply
   30,788x = 65,788 × 65,788
4. Step 4: Simplify right side
   30,788x = 4,328,060,944
5. Step 5: Solve for x
   x = 4,328,060,944/30,788
6. Step 6: Final answer
   x = 140,576.23