Finding the Third Proportional to 53,815 and 83,993

Step by Step Solution

1. Step 1: Write the proportion equation
   53,815 : 83,993 = 83,993 : x
2. Step 2: Convert to fraction form
   53,815/83,993 = 83,993/x
3. Step 3: Cross multiply
   53,815x = 83,993 × 83,993
4. Step 4: Simplify right side
   53,815x = 7,054,824,049
5. Step 5: Solve for x
   x = 7,054,824,049/53,815
6. Step 6: Final answer
   x = 131,094.01