Finding the Third Proportional to 36,560 and 55,290

Step by Step Solution

1. Step 1: Write the proportion equation
   36,560 : 55,290 = 55,290 : x
2. Step 2: Convert to fraction form
   36,560/55,290 = 55,290/x
3. Step 3: Cross multiply
   36,560x = 55,290 × 55,290
4. Step 4: Simplify right side
   36,560x = 3,056,984,100
5. Step 5: Solve for x
   x = 3,056,984,100/36,560
6. Step 6: Final answer
   x = 83,615.54