Finding the Third Proportional to 36,563 and 55,114

Step by Step Solution

1. Step 1: Write the proportion equation
   36,563 : 55,114 = 55,114 : x
2. Step 2: Convert to fraction form
   36,563/55,114 = 55,114/x
3. Step 3: Cross multiply
   36,563x = 55,114 × 55,114
4. Step 4: Simplify right side
   36,563x = 3,037,552,996
5. Step 5: Solve for x
   x = 3,037,552,996/36,563
6. Step 6: Final answer
   x = 83,077.24