Finding the Third Proportional to 17,896 and 38,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,896 : 38,867.50 = 38,867.50 : x
2. Step 2: Convert to fraction form
   17,896/38,867.50 = 38,867.50/x
3. Step 3: Cross multiply
   17,896x = 38,867.50 × 38,867.50
4. Step 4: Simplify right side
   17,896x = 1,510,682,556.25
5. Step 5: Solve for x
   x = 1,510,682,556.25/17,896
6. Step 6: Final answer
   x = 84,414.54