Finding the Third Proportional to 31,947 and 69,471

Step by Step Solution

1. Step 1: Write the proportion equation
   31,947 : 69,471 = 69,471 : x
2. Step 2: Convert to fraction form
   31,947/69,471 = 69,471/x
3. Step 3: Cross multiply
   31,947x = 69,471 × 69,471
4. Step 4: Simplify right side
   31,947x = 4,826,219,841
5. Step 5: Solve for x
   x = 4,826,219,841/31,947
6. Step 6: Final answer
   x = 151,069.58