Finding the Third Proportional to 36,516 and 55,036

Step by Step Solution

1. Step 1: Write the proportion equation
   36,516 : 55,036 = 55,036 : x
2. Step 2: Convert to fraction form
   36,516/55,036 = 55,036/x
3. Step 3: Cross multiply
   36,516x = 55,036 × 55,036
4. Step 4: Simplify right side
   36,516x = 3,028,961,296
5. Step 5: Solve for x
   x = 3,028,961,296/36,516
6. Step 6: Final answer
   x = 82,948.88