Finding the Third Proportional to 32,391 and 69,749

Step by Step Solution

1. Step 1: Write the proportion equation
   32,391 : 69,749 = 69,749 : x
2. Step 2: Convert to fraction form
   32,391/69,749 = 69,749/x
3. Step 3: Cross multiply
   32,391x = 69,749 × 69,749
4. Step 4: Simplify right side
   32,391x = 4,864,923,001
5. Step 5: Solve for x
   x = 4,864,923,001/32,391
6. Step 6: Final answer
   x = 150,193.66