Finding the Third Proportional to 27,413.50 and 59,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,413.50 : 59,784.50 = 59,784.50 : x
2. Step 2: Convert to fraction form
   27,413.50/59,784.50 = 59,784.50/x
3. Step 3: Cross multiply
   27,413.50x = 59,784.50 × 59,784.50
4. Step 4: Simplify right side
   27,413.50x = 3,574,186,440.25
5. Step 5: Solve for x
   x = 3,574,186,440.25/27,413.50
6. Step 6: Final answer
   x = 130,380.52