Finding the Third Proportional to 20,887 and 45,729

Step by Step Solution

1. Step 1: Write the proportion equation
   20,887 : 45,729 = 45,729 : x
2. Step 2: Convert to fraction form
   20,887/45,729 = 45,729/x
3. Step 3: Cross multiply
   20,887x = 45,729 × 45,729
4. Step 4: Simplify right side
   20,887x = 2,091,141,441
5. Step 5: Solve for x
   x = 2,091,141,441/20,887
6. Step 6: Final answer
   x = 100,116.89