Finding the Third Proportional to 35,488 and 59,143

Step by Step Solution

1. Step 1: Write the proportion equation
   35,488 : 59,143 = 59,143 : x
2. Step 2: Convert to fraction form
   35,488/59,143 = 59,143/x
3. Step 3: Cross multiply
   35,488x = 59,143 × 59,143
4. Step 4: Simplify right side
   35,488x = 3,497,894,449
5. Step 5: Solve for x
   x = 3,497,894,449/35,488
6. Step 6: Final answer
   x = 98,565.56