Finding the Third Proportional to 51,083 and 76,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,083 : 76,693.50 = 76,693.50 : x
2. Step 2: Convert to fraction form
   51,083/76,693.50 = 76,693.50/x
3. Step 3: Cross multiply
   51,083x = 76,693.50 × 76,693.50
4. Step 4: Simplify right side
   51,083x = 5,881,892,942.25
5. Step 5: Solve for x
   x = 5,881,892,942.25/51,083
6. Step 6: Final answer
   x = 115,143.84