Finding the Third Proportional to 51,830 and 73,400.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,830 : 73,400.75 = 73,400.75 : x
2. Step 2: Convert to fraction form
   51,830/73,400.75 = 73,400.75/x
3. Step 3: Cross multiply
   51,830x = 73,400.75 × 73,400.75
4. Step 4: Simplify right side
   51,830x = 5,387,670,100.56
5. Step 5: Solve for x
   x = 5,387,670,100.56/51,830
6. Step 6: Final answer
   x = 103,948.87