Finding the Third Proportional to 32,049 and 42,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,049 : 42,853.50 = 42,853.50 : x
2. Step 2: Convert to fraction form
   32,049/42,853.50 = 42,853.50/x
3. Step 3: Cross multiply
   32,049x = 42,853.50 × 42,853.50
4. Step 4: Simplify right side
   32,049x = 1,836,422,462.25
5. Step 5: Solve for x
   x = 1,836,422,462.25/32,049
6. Step 6: Final answer
   x = 57,300.46