Finding the Third Proportional to 31,781 and 69,097

Step by Step Solution

1. Step 1: Write the proportion equation
   31,781 : 69,097 = 69,097 : x
2. Step 2: Convert to fraction form
   31,781/69,097 = 69,097/x
3. Step 3: Cross multiply
   31,781x = 69,097 × 69,097
4. Step 4: Simplify right side
   31,781x = 4,774,395,409
5. Step 5: Solve for x
   x = 4,774,395,409/31,781
6. Step 6: Final answer
   x = 150,227.98