Finding the Third Proportional to 17,506 and 38,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,506 : 38,413.50 = 38,413.50 : x
2. Step 2: Convert to fraction form
   17,506/38,413.50 = 38,413.50/x
3. Step 3: Cross multiply
   17,506x = 38,413.50 × 38,413.50
4. Step 4: Simplify right side
   17,506x = 1,475,596,982.25
5. Step 5: Solve for x
   x = 1,475,596,982.25/17,506
6. Step 6: Final answer
   x = 84,290.93