Finding the Third Proportional to 42,853.50 and 64,239.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,853.50 : 64,239.75 = 64,239.75 : x
2. Step 2: Convert to fraction form
   42,853.50/64,239.75 = 64,239.75/x
3. Step 3: Cross multiply
   42,853.50x = 64,239.75 × 64,239.75
4. Step 4: Simplify right side
   42,853.50x = 4,126,745,480.06
5. Step 5: Solve for x
   x = 4,126,745,480.06/42,853.50
6. Step 6: Final answer
   x = 96,298.91