Finding the Third Proportional to 29,340 and 45,456

Step by Step Solution

1. Step 1: Write the proportion equation
   29,340 : 45,456 = 45,456 : x
2. Step 2: Convert to fraction form
   29,340/45,456 = 45,456/x
3. Step 3: Cross multiply
   29,340x = 45,456 × 45,456
4. Step 4: Simplify right side
   29,340x = 2,066,247,936
5. Step 5: Solve for x
   x = 2,066,247,936/29,340
6. Step 6: Final answer
   x = 70,424.27