Finding the Third Proportional to 36,880 and 55,488

Step by Step Solution

1. Step 1: Write the proportion equation
   36,880 : 55,488 = 55,488 : x
2. Step 2: Convert to fraction form
   36,880/55,488 = 55,488/x
3. Step 3: Cross multiply
   36,880x = 55,488 × 55,488
4. Step 4: Simplify right side
   36,880x = 3,078,918,144
5. Step 5: Solve for x
   x = 3,078,918,144/36,880
6. Step 6: Final answer
   x = 83,484.77