Finding the Third Proportional to 61,175 and 89,548

Step by Step Solution

1. Step 1: Write the proportion equation
   61,175 : 89,548 = 89,548 : x
2. Step 2: Convert to fraction form
   61,175/89,548 = 89,548/x
3. Step 3: Cross multiply
   61,175x = 89,548 × 89,548
4. Step 4: Simplify right side
   61,175x = 8,018,844,304
5. Step 5: Solve for x
   x = 8,018,844,304/61,175
6. Step 6: Final answer
   x = 131,080.41