Finding the Third Proportional to 38,556 and 59,585

Step by Step Solution

1. Step 1: Write the proportion equation
   38,556 : 59,585 = 59,585 : x
2. Step 2: Convert to fraction form
   38,556/59,585 = 59,585/x
3. Step 3: Cross multiply
   38,556x = 59,585 × 59,585
4. Step 4: Simplify right side
   38,556x = 3,550,372,225
5. Step 5: Solve for x
   x = 3,550,372,225/38,556
6. Step 6: Final answer
   x = 92,083.52