Finding the Third Proportional to 53,822 and 84,003

Step by Step Solution

1. Step 1: Write the proportion equation
   53,822 : 84,003 = 84,003 : x
2. Step 2: Convert to fraction form
   53,822/84,003 = 84,003/x
3. Step 3: Cross multiply
   53,822x = 84,003 × 84,003
4. Step 4: Simplify right side
   53,822x = 7,056,504,009
5. Step 5: Solve for x
   x = 7,056,504,009/53,822
6. Step 6: Final answer
   x = 131,108.17