Finding the Third Proportional to 36,838 and 55,564

Step by Step Solution

1. Step 1: Write the proportion equation
   36,838 : 55,564 = 55,564 : x
2. Step 2: Convert to fraction form
   36,838/55,564 = 55,564/x
3. Step 3: Cross multiply
   36,838x = 55,564 × 55,564
4. Step 4: Simplify right side
   36,838x = 3,087,358,096
5. Step 5: Solve for x
   x = 3,087,358,096/36,838
6. Step 6: Final answer
   x = 83,809.06