Finding the Third Proportional to 61,848 and 89,342

Step by Step Solution

1. Step 1: Write the proportion equation
   61,848 : 89,342 = 89,342 : x
2. Step 2: Convert to fraction form
   61,848/89,342 = 89,342/x
3. Step 3: Cross multiply
   61,848x = 89,342 × 89,342
4. Step 4: Simplify right side
   61,848x = 7,981,992,964
5. Step 5: Solve for x
   x = 7,981,992,964/61,848
6. Step 6: Final answer
   x = 129,058.22