Finding the Third Proportional to 69,662 and 101,577

Step by Step Solution

1. Step 1: Write the proportion equation
   69,662 : 101,577 = 101,577 : x
2. Step 2: Convert to fraction form
   69,662/101,577 = 101,577/x
3. Step 3: Cross multiply
   69,662x = 101,577 × 101,577
4. Step 4: Simplify right side
   69,662x = 10,317,886,929
5. Step 5: Solve for x
   x = 10,317,886,929/69,662
6. Step 6: Final answer
   x = 148,113.56