Finding the Third Proportional to 59,853 and 91,077

Step by Step Solution

1. Step 1: Write the proportion equation
   59,853 : 91,077 = 91,077 : x
2. Step 2: Convert to fraction form
   59,853/91,077 = 91,077/x
3. Step 3: Cross multiply
   59,853x = 91,077 × 91,077
4. Step 4: Simplify right side
   59,853x = 8,295,019,929
5. Step 5: Solve for x
   x = 8,295,019,929/59,853
6. Step 6: Final answer
   x = 138,589.88