Finding the Third Proportional to 36,854 and 55,590

Step by Step Solution

1. Step 1: Write the proportion equation
   36,854 : 55,590 = 55,590 : x
2. Step 2: Convert to fraction form
   36,854/55,590 = 55,590/x
3. Step 3: Cross multiply
   36,854x = 55,590 × 55,590
4. Step 4: Simplify right side
   36,854x = 3,090,248,100
5. Step 5: Solve for x
   x = 3,090,248,100/36,854
6. Step 6: Final answer
   x = 83,851.09