Finding the Third Proportional to 32,146 and 69,799

Step by Step Solution

1. Step 1: Write the proportion equation
   32,146 : 69,799 = 69,799 : x
2. Step 2: Convert to fraction form
   32,146/69,799 = 69,799/x
3. Step 3: Cross multiply
   32,146x = 69,799 × 69,799
4. Step 4: Simplify right side
   32,146x = 4,871,900,401
5. Step 5: Solve for x
   x = 4,871,900,401/32,146
6. Step 6: Final answer
   x = 151,555.42