Finding the Third Proportional to 55,176 and 85,590

Step by Step Solution

1. Step 1: Write the proportion equation
   55,176 : 85,590 = 85,590 : x
2. Step 2: Convert to fraction form
   55,176/85,590 = 85,590/x
3. Step 3: Cross multiply
   55,176x = 85,590 × 85,590
4. Step 4: Simplify right side
   55,176x = 7,325,648,100
5. Step 5: Solve for x
   x = 7,325,648,100/55,176
6. Step 6: Final answer
   x = 132,768.74