Finding the Third Proportional to 29,782.25 and 64,903.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,782.25 : 64,903.75 = 64,903.75 : x
2. Step 2: Convert to fraction form
   29,782.25/64,903.75 = 64,903.75/x
3. Step 3: Cross multiply
   29,782.25x = 64,903.75 × 64,903.75
4. Step 4: Simplify right side
   29,782.25x = 4,212,496,764.06
5. Step 5: Solve for x
   x = 4,212,496,764.06/29,782.25
6. Step 6: Final answer
   x = 141,443.20