Finding the Third Proportional to 51,968.50 and 83,693.63

Step by Step Solution

1. Step 1: Write the proportion equation
   51,968.50 : 83,693.63 = 83,693.63 : x
2. Step 2: Convert to fraction form
   51,968.50/83,693.63 = 83,693.63/x
3. Step 3: Cross multiply
   51,968.50x = 83,693.63 × 83,693.63
4. Step 4: Simplify right side
   51,968.50x = 7,004,622,865.64
5. Step 5: Solve for x
   x = 7,004,622,865.64/51,968.50
6. Step 6: Final answer
   x = 134,785.94