Finding the Third Proportional to 12,780 and 28,077

Step by Step Solution

1. Step 1: Write the proportion equation
   12,780 : 28,077 = 28,077 : x
2. Step 2: Convert to fraction form
   12,780/28,077 = 28,077/x
3. Step 3: Cross multiply
   12,780x = 28,077 × 28,077
4. Step 4: Simplify right side
   12,780x = 788,317,929
5. Step 5: Solve for x
   x = 788,317,929/12,780
6. Step 6: Final answer
   x = 61,683.72