Finding the Third Proportional to 31,866 and 69,260

Step by Step Solution

1. Step 1: Write the proportion equation
   31,866 : 69,260 = 69,260 : x
2. Step 2: Convert to fraction form
   31,866/69,260 = 69,260/x
3. Step 3: Cross multiply
   31,866x = 69,260 × 69,260
4. Step 4: Simplify right side
   31,866x = 4,796,947,600
5. Step 5: Solve for x
   x = 4,796,947,600/31,866
6. Step 6: Final answer
   x = 150,534.98