Finding the Third Proportional to 53,820 and 73,881

Step by Step Solution

1. Step 1: Write the proportion equation
   53,820 : 73,881 = 73,881 : x
2. Step 2: Convert to fraction form
   53,820/73,881 = 73,881/x
3. Step 3: Cross multiply
   53,820x = 73,881 × 73,881
4. Step 4: Simplify right side
   53,820x = 5,458,402,161
5. Step 5: Solve for x
   x = 5,458,402,161/53,820
6. Step 6: Final answer
   x = 101,419.59