Finding the Third Proportional to 17,853.75 and 38,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,853.75 : 38,893.50 = 38,893.50 : x
2. Step 2: Convert to fraction form
   17,853.75/38,893.50 = 38,893.50/x
3. Step 3: Cross multiply
   17,853.75x = 38,893.50 × 38,893.50
4. Step 4: Simplify right side
   17,853.75x = 1,512,704,342.25
5. Step 5: Solve for x
   x = 1,512,704,342.25/17,853.75
6. Step 6: Final answer
   x = 84,727.54