Finding the Third Proportional to 55,465 and 86,048

Step by Step Solution

1. Step 1: Write the proportion equation
   55,465 : 86,048 = 86,048 : x
2. Step 2: Convert to fraction form
   55,465/86,048 = 86,048/x
3. Step 3: Cross multiply
   55,465x = 86,048 × 86,048
4. Step 4: Simplify right side
   55,465x = 7,404,258,304
5. Step 5: Solve for x
   x = 7,404,258,304/55,465
6. Step 6: Final answer
   x = 133,494.25