Finding the Third Proportional to 29,826 and 64,222.88

Step by Step Solution

1. Step 1: Write the proportion equation
   29,826 : 64,222.88 = 64,222.88 : x
2. Step 2: Convert to fraction form
   29,826/64,222.88 = 64,222.88/x
3. Step 3: Cross multiply
   29,826x = 64,222.88 × 64,222.88
4. Step 4: Simplify right side
   29,826x = 4,124,577,673.27
5. Step 5: Solve for x
   x = 4,124,577,673.27/29,826
6. Step 6: Final answer
   x = 138,287.99