Finding the Third Proportional to 31,413.50 and 46,178

Step by Step Solution

1. Step 1: Write the proportion equation
   31,413.50 : 46,178 = 46,178 : x
2. Step 2: Convert to fraction form
   31,413.50/46,178 = 46,178/x
3. Step 3: Cross multiply
   31,413.50x = 46,178 × 46,178
4. Step 4: Simplify right side
   31,413.50x = 2,132,407,684
5. Step 5: Solve for x
   x = 2,132,407,684/31,413.50
6. Step 6: Final answer
   x = 67,881.89