Finding the Third Proportional to 38,077 and 56,892

Step by Step Solution

1. Step 1: Write the proportion equation
   38,077 : 56,892 = 56,892 : x
2. Step 2: Convert to fraction form
   38,077/56,892 = 56,892/x
3. Step 3: Cross multiply
   38,077x = 56,892 × 56,892
4. Step 4: Simplify right side
   38,077x = 3,236,699,664
5. Step 5: Solve for x
   x = 3,236,699,664/38,077
6. Step 6: Final answer
   x = 85,004.06