Finding the Third Proportional to 53,621 and 105,896

Step by Step Solution

1. Step 1: Write the proportion equation
   53,621 : 105,896 = 105,896 : x
2. Step 2: Convert to fraction form
   53,621/105,896 = 105,896/x
3. Step 3: Cross multiply
   53,621x = 105,896 × 105,896
4. Step 4: Simplify right side
   53,621x = 11,213,962,816
5. Step 5: Solve for x
   x = 11,213,962,816/53,621
6. Step 6: Final answer
   x = 209,133.79