Finding the Third Proportional to 30,896 and 67,807

Step by Step Solution

1. Step 1: Write the proportion equation
   30,896 : 67,807 = 67,807 : x
2. Step 2: Convert to fraction form
   30,896/67,807 = 67,807/x
3. Step 3: Cross multiply
   30,896x = 67,807 × 67,807
4. Step 4: Simplify right side
   30,896x = 4,597,789,249
5. Step 5: Solve for x
   x = 4,597,789,249/30,896
6. Step 6: Final answer
   x = 148,815.03