Finding the Third Proportional to 31,360 and 75,848

Step by Step Solution

1. Step 1: Write the proportion equation
   31,360 : 75,848 = 75,848 : x
2. Step 2: Convert to fraction form
   31,360/75,848 = 75,848/x
3. Step 3: Cross multiply
   31,360x = 75,848 × 75,848
4. Step 4: Simplify right side
   31,360x = 5,752,919,104
5. Step 5: Solve for x
   x = 5,752,919,104/31,360
6. Step 6: Final answer
   x = 183,447.68