Finding the Third Proportional to 25,003 and 53,354

Step by Step Solution

1. Step 1: Write the proportion equation
   25,003 : 53,354 = 53,354 : x
2. Step 2: Convert to fraction form
   25,003/53,354 = 53,354/x
3. Step 3: Cross multiply
   25,003x = 53,354 × 53,354
4. Step 4: Simplify right side
   25,003x = 2,846,649,316
5. Step 5: Solve for x
   x = 2,846,649,316/25,003
6. Step 6: Final answer
   x = 113,852.31