Finding the Third Proportional to 29,826 and 64,323

Step by Step Solution

1. Step 1: Write the proportion equation
   29,826 : 64,323 = 64,323 : x
2. Step 2: Convert to fraction form
   29,826/64,323 = 64,323/x
3. Step 3: Cross multiply
   29,826x = 64,323 × 64,323
4. Step 4: Simplify right side
   29,826x = 4,137,448,329
5. Step 5: Solve for x
   x = 4,137,448,329/29,826
6. Step 6: Final answer
   x = 138,719.52