Finding the Third Proportional to 27,195.75 and 42,013.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27,195.75 : 42,013.69 = 42,013.69 : x
2. Step 2: Convert to fraction form
   27,195.75/42,013.69 = 42,013.69/x
3. Step 3: Cross multiply
   27,195.75x = 42,013.69 × 42,013.69
4. Step 4: Simplify right side
   27,195.75x = 1,765,149,937.35
5. Step 5: Solve for x
   x = 1,765,149,937.35/27,195.75
6. Step 6: Final answer
   x = 64,905.36