Finding the Third Proportional to 27,361.50 and 64,419.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,361.50 : 64,419.75 = 64,419.75 : x
2. Step 2: Convert to fraction form
   27,361.50/64,419.75 = 64,419.75/x
3. Step 3: Cross multiply
   27,361.50x = 64,419.75 × 64,419.75
4. Step 4: Simplify right side
   27,361.50x = 4,149,904,190.06
5. Step 5: Solve for x
   x = 4,149,904,190.06/27,361.50
6. Step 6: Final answer
   x = 151,669.47