Finding the Third Proportional to 29,646 and 64,380

Step by Step Solution

1. Step 1: Write the proportion equation
   29,646 : 64,380 = 64,380 : x
2. Step 2: Convert to fraction form
   29,646/64,380 = 64,380/x
3. Step 3: Cross multiply
   29,646x = 64,380 × 64,380
4. Step 4: Simplify right side
   29,646x = 4,144,784,400
5. Step 5: Solve for x
   x = 4,144,784,400/29,646
6. Step 6: Final answer
   x = 139,809.23