Finding the Third Proportional to 20,738 and 45,892

Step by Step Solution

1. Step 1: Write the proportion equation
   20,738 : 45,892 = 45,892 : x
2. Step 2: Convert to fraction form
   20,738/45,892 = 45,892/x
3. Step 3: Cross multiply
   20,738x = 45,892 × 45,892
4. Step 4: Simplify right side
   20,738x = 2,106,075,664
5. Step 5: Solve for x
   x = 2,106,075,664/20,738
6. Step 6: Final answer
   x = 101,556.35