Finding the Third Proportional to 25,646 and 37,461

Step by Step Solution

1. Step 1: Write the proportion equation
   25,646 : 37,461 = 37,461 : x
2. Step 2: Convert to fraction form
   25,646/37,461 = 37,461/x
3. Step 3: Cross multiply
   25,646x = 37,461 × 37,461
4. Step 4: Simplify right side
   25,646x = 1,403,326,521
5. Step 5: Solve for x
   x = 1,403,326,521/25,646
6. Step 6: Final answer
   x = 54,719.12