Finding the Third Proportional to 31,861 and 69,174

Step by Step Solution

1. Step 1: Write the proportion equation
   31,861 : 69,174 = 69,174 : x
2. Step 2: Convert to fraction form
   31,861/69,174 = 69,174/x
3. Step 3: Cross multiply
   31,861x = 69,174 × 69,174
4. Step 4: Simplify right side
   31,861x = 4,785,042,276
5. Step 5: Solve for x
   x = 4,785,042,276/31,861
6. Step 6: Final answer
   x = 150,184.94