Finding the Third Proportional to 31,906 and 69,947

Step by Step Solution

1. Step 1: Write the proportion equation
   31,906 : 69,947 = 69,947 : x
2. Step 2: Convert to fraction form
   31,906/69,947 = 69,947/x
3. Step 3: Cross multiply
   31,906x = 69,947 × 69,947
4. Step 4: Simplify right side
   31,906x = 4,892,582,809
5. Step 5: Solve for x
   x = 4,892,582,809/31,906
6. Step 6: Final answer
   x = 153,343.66