Finding the Third Proportional to 51,980 and 83,713

Step by Step Solution

1. Step 1: Write the proportion equation
   51,980 : 83,713 = 83,713 : x
2. Step 2: Convert to fraction form
   51,980/83,713 = 83,713/x
3. Step 3: Cross multiply
   51,980x = 83,713 × 83,713
4. Step 4: Simplify right side
   51,980x = 7,007,866,369
5. Step 5: Solve for x
   x = 7,007,866,369/51,980
6. Step 6: Final answer
   x = 134,818.51