Finding the Third Proportional to 12,980.25 and 27,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,980.25 : 27,823.50 = 27,823.50 : x
2. Step 2: Convert to fraction form
   12,980.25/27,823.50 = 27,823.50/x
3. Step 3: Cross multiply
   12,980.25x = 27,823.50 × 27,823.50
4. Step 4: Simplify right side
   12,980.25x = 774,147,152.25
5. Step 5: Solve for x
   x = 774,147,152.25/12,980.25
6. Step 6: Final answer
   x = 59,640.39