Finding the Third Proportional to 53,662 and 85,096

Step by Step Solution

1. Step 1: Write the proportion equation
   53,662 : 85,096 = 85,096 : x
2. Step 2: Convert to fraction form
   53,662/85,096 = 85,096/x
3. Step 3: Cross multiply
   53,662x = 85,096 × 85,096
4. Step 4: Simplify right side
   53,662x = 7,241,329,216
5. Step 5: Solve for x
   x = 7,241,329,216/53,662
6. Step 6: Final answer
   x = 134,943.33