Finding the Third Proportional to 51,842 and 76,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,842 : 76,669.50 = 76,669.50 : x
2. Step 2: Convert to fraction form
   51,842/76,669.50 = 76,669.50/x
3. Step 3: Cross multiply
   51,842x = 76,669.50 × 76,669.50
4. Step 4: Simplify right side
   51,842x = 5,878,212,230.25
5. Step 5: Solve for x
   x = 5,878,212,230.25/51,842
6. Step 6: Final answer
   x = 113,387.07