Finding the Third Proportional to 25,884 and 61,146

Step by Step Solution

1. Step 1: Write the proportion equation
   25,884 : 61,146 = 61,146 : x
2. Step 2: Convert to fraction form
   25,884/61,146 = 61,146/x
3. Step 3: Cross multiply
   25,884x = 61,146 × 61,146
4. Step 4: Simplify right side
   25,884x = 3,738,833,316
5. Step 5: Solve for x
   x = 3,738,833,316/25,884
6. Step 6: Final answer
   x = 144,445.73