Finding the Third Proportional to 25,278 and 35,412

Step by Step Solution

1. Step 1: Write the proportion equation
   25,278 : 35,412 = 35,412 : x
2. Step 2: Convert to fraction form
   25,278/35,412 = 35,412/x
3. Step 3: Cross multiply
   25,278x = 35,412 × 35,412
4. Step 4: Simplify right side
   25,278x = 1,254,009,744
5. Step 5: Solve for x
   x = 1,254,009,744/25,278
6. Step 6: Final answer
   x = 49,608.74