Finding the Third Proportional to 25,004 and 53,194

Step by Step Solution

1. Step 1: Write the proportion equation
   25,004 : 53,194 = 53,194 : x
2. Step 2: Convert to fraction form
   25,004/53,194 = 53,194/x
3. Step 3: Cross multiply
   25,004x = 53,194 × 53,194
4. Step 4: Simplify right side
   25,004x = 2,829,601,636
5. Step 5: Solve for x
   x = 2,829,601,636/25,004
6. Step 6: Final answer
   x = 113,165.96