Finding the Third Proportional to 51,813 and 76,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,813 : 76,018.50 = 76,018.50 : x
2. Step 2: Convert to fraction form
   51,813/76,018.50 = 76,018.50/x
3. Step 3: Cross multiply
   51,813x = 76,018.50 × 76,018.50
4. Step 4: Simplify right side
   51,813x = 5,778,812,342.25
5. Step 5: Solve for x
   x = 5,778,812,342.25/51,813
6. Step 6: Final answer
   x = 111,532.09