Finding the Third Proportional to 31,948 and 69,326

Step by Step Solution

1. Step 1: Write the proportion equation
   31,948 : 69,326 = 69,326 : x
2. Step 2: Convert to fraction form
   31,948/69,326 = 69,326/x
3. Step 3: Cross multiply
   31,948x = 69,326 × 69,326
4. Step 4: Simplify right side
   31,948x = 4,806,094,276
5. Step 5: Solve for x
   x = 4,806,094,276/31,948
6. Step 6: Final answer
   x = 150,434.90