Finding the Third Proportional to 32,404 and 69,866

Step by Step Solution

1. Step 1: Write the proportion equation
   32,404 : 69,866 = 69,866 : x
2. Step 2: Convert to fraction form
   32,404/69,866 = 69,866/x
3. Step 3: Cross multiply
   32,404x = 69,866 × 69,866
4. Step 4: Simplify right side
   32,404x = 4,881,257,956
5. Step 5: Solve for x
   x = 4,881,257,956/32,404
6. Step 6: Final answer
   x = 150,637.51