Finding the Third Proportional to 17,645 and 38,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,645 : 38,745.50 = 38,745.50 : x
2. Step 2: Convert to fraction form
   17,645/38,745.50 = 38,745.50/x
3. Step 3: Cross multiply
   17,645x = 38,745.50 × 38,745.50
4. Step 4: Simplify right side
   17,645x = 1,501,213,770.25
5. Step 5: Solve for x
   x = 1,501,213,770.25/17,645
6. Step 6: Final answer
   x = 85,078.71