Finding the Third Proportional to 20,838 and 45,558

Step by Step Solution

1. Step 1: Write the proportion equation
   20,838 : 45,558 = 45,558 : x
2. Step 2: Convert to fraction form
   20,838/45,558 = 45,558/x
3. Step 3: Cross multiply
   20,838x = 45,558 × 45,558
4. Step 4: Simplify right side
   20,838x = 2,075,531,364
5. Step 5: Solve for x
   x = 2,075,531,364/20,838
6. Step 6: Final answer
   x = 99,603.19