Finding the Third Proportional to 9,466 and 25,645

Step by Step Solution

1. Step 1: Write the proportion equation
   9,466 : 25,645 = 25,645 : x
2. Step 2: Convert to fraction form
   9,466/25,645 = 25,645/x
3. Step 3: Cross multiply
   9,466x = 25,645 × 25,645
4. Step 4: Simplify right side
   9,466x = 657,666,025
5. Step 5: Solve for x
   x = 657,666,025/9,466
6. Step 6: Final answer
   x = 69,476.66