Finding the Third Proportional to 25,160 and 41,788

Step by Step Solution

1. Step 1: Write the proportion equation
   25,160 : 41,788 = 41,788 : x
2. Step 2: Convert to fraction form
   25,160/41,788 = 41,788/x
3. Step 3: Cross multiply
   25,160x = 41,788 × 41,788
4. Step 4: Simplify right side
   25,160x = 1,746,236,944
5. Step 5: Solve for x
   x = 1,746,236,944/25,160
6. Step 6: Final answer
   x = 69,405.28