Finding the Third Proportional to 53,738 and 85,216

Step by Step Solution

1. Step 1: Write the proportion equation
   53,738 : 85,216 = 85,216 : x
2. Step 2: Convert to fraction form
   53,738/85,216 = 85,216/x
3. Step 3: Cross multiply
   53,738x = 85,216 × 85,216
4. Step 4: Simplify right side
   53,738x = 7,261,766,656
5. Step 5: Solve for x
   x = 7,261,766,656/53,738
6. Step 6: Final answer
   x = 135,132.80