Finding the Third Proportional to 32,310 and 68,456

Step by Step Solution

1. Step 1: Write the proportion equation
   32,310 : 68,456 = 68,456 : x
2. Step 2: Convert to fraction form
   32,310/68,456 = 68,456/x
3. Step 3: Cross multiply
   32,310x = 68,456 × 68,456
4. Step 4: Simplify right side
   32,310x = 4,686,223,936
5. Step 5: Solve for x
   x = 4,686,223,936/32,310
6. Step 6: Final answer
   x = 145,039.43