Finding the Third Proportional to 51,780 and 76,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,780 : 76,684.50 = 76,684.50 : x
2. Step 2: Convert to fraction form
   51,780/76,684.50 = 76,684.50/x
3. Step 3: Cross multiply
   51,780x = 76,684.50 × 76,684.50
4. Step 4: Simplify right side
   51,780x = 5,880,512,540.25
5. Step 5: Solve for x
   x = 5,880,512,540.25/51,780
6. Step 6: Final answer
   x = 113,567.26