Finding the Third Proportional to 29,205 and 57,633.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,205 : 57,633.75 = 57,633.75 : x
2. Step 2: Convert to fraction form
   29,205/57,633.75 = 57,633.75/x
3. Step 3: Cross multiply
   29,205x = 57,633.75 × 57,633.75
4. Step 4: Simplify right side
   29,205x = 3,321,649,139.06
5. Step 5: Solve for x
   x = 3,321,649,139.06/29,205
6. Step 6: Final answer
   x = 113,735.63