Finding the Third Proportional to 32,471 and 69,798

Step by Step Solution

1. Step 1: Write the proportion equation
   32,471 : 69,798 = 69,798 : x
2. Step 2: Convert to fraction form
   32,471/69,798 = 69,798/x
3. Step 3: Cross multiply
   32,471x = 69,798 × 69,798
4. Step 4: Simplify right side
   32,471x = 4,871,760,804
5. Step 5: Solve for x
   x = 4,871,760,804/32,471
6. Step 6: Final answer
   x = 150,034.21