Finding the Third Proportional to 53,854 and 89,443

Step by Step Solution

1. Step 1: Write the proportion equation
   53,854 : 89,443 = 89,443 : x
2. Step 2: Convert to fraction form
   53,854/89,443 = 89,443/x
3. Step 3: Cross multiply
   53,854x = 89,443 × 89,443
4. Step 4: Simplify right side
   53,854x = 8,000,050,249
5. Step 5: Solve for x
   x = 8,000,050,249/53,854
6. Step 6: Final answer
   x = 148,550.72