Finding the Third Proportional to 24,120 and 31,788

Step by Step Solution

1. Step 1: Write the proportion equation
   24,120 : 31,788 = 31,788 : x
2. Step 2: Convert to fraction form
   24,120/31,788 = 31,788/x
3. Step 3: Cross multiply
   24,120x = 31,788 × 31,788
4. Step 4: Simplify right side
   24,120x = 1,010,476,944
5. Step 5: Solve for x
   x = 1,010,476,944/24,120
6. Step 6: Final answer
   x = 41,893.74