Finding the Third Proportional to 31,805 and 69,077

Step by Step Solution

1. Step 1: Write the proportion equation
   31,805 : 69,077 = 69,077 : x
2. Step 2: Convert to fraction form
   31,805/69,077 = 69,077/x
3. Step 3: Cross multiply
   31,805x = 69,077 × 69,077
4. Step 4: Simplify right side
   31,805x = 4,771,631,929
5. Step 5: Solve for x
   x = 4,771,631,929/31,805
6. Step 6: Final answer
   x = 150,027.73