Finding the Third Proportional to 32,294 and 69,684

Step by Step Solution

1. Step 1: Write the proportion equation
   32,294 : 69,684 = 69,684 : x
2. Step 2: Convert to fraction form
   32,294/69,684 = 69,684/x
3. Step 3: Cross multiply
   32,294x = 69,684 × 69,684
4. Step 4: Simplify right side
   32,294x = 4,855,859,856
5. Step 5: Solve for x
   x = 4,855,859,856/32,294
6. Step 6: Final answer
   x = 150,364.15