Finding the Third Proportional to 36,585 and 78,111

Step by Step Solution

1. Step 1: Write the proportion equation
   36,585 : 78,111 = 78,111 : x
2. Step 2: Convert to fraction form
   36,585/78,111 = 78,111/x
3. Step 3: Cross multiply
   36,585x = 78,111 × 78,111
4. Step 4: Simplify right side
   36,585x = 6,101,328,321
5. Step 5: Solve for x
   x = 6,101,328,321/36,585
6. Step 6: Final answer
   x = 166,771.31