Finding the Third Proportional to 36,688 and 55,110

Step by Step Solution

1. Step 1: Write the proportion equation
   36,688 : 55,110 = 55,110 : x
2. Step 2: Convert to fraction form
   36,688/55,110 = 55,110/x
3. Step 3: Cross multiply
   36,688x = 55,110 × 55,110
4. Step 4: Simplify right side
   36,688x = 3,037,112,100
5. Step 5: Solve for x
   x = 3,037,112,100/36,688
6. Step 6: Final answer
   x = 82,782.17