Finding the Third Proportional to 38,774 and 85,404

Step by Step Solution

1. Step 1: Write the proportion equation
   38,774 : 85,404 = 85,404 : x
2. Step 2: Convert to fraction form
   38,774/85,404 = 85,404/x
3. Step 3: Cross multiply
   38,774x = 85,404 × 85,404
4. Step 4: Simplify right side
   38,774x = 7,293,843,216
5. Step 5: Solve for x
   x = 7,293,843,216/38,774
6. Step 6: Final answer
   x = 188,111.70