Finding the Third Proportional to 29,584.13 and 64,905.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,584.13 : 64,905.75 = 64,905.75 : x
2. Step 2: Convert to fraction form
   29,584.13/64,905.75 = 64,905.75/x
3. Step 3: Cross multiply
   29,584.13x = 64,905.75 × 64,905.75
4. Step 4: Simplify right side
   29,584.13x = 4,212,756,383.06
5. Step 5: Solve for x
   x = 4,212,756,383.06/29,584.13
6. Step 6: Final answer
   x = 142,399.22