Finding the Third Proportional to 25,085 and 37,628

Step by Step Solution

1. Step 1: Write the proportion equation
   25,085 : 37,628 = 37,628 : x
2. Step 2: Convert to fraction form
   25,085/37,628 = 37,628/x
3. Step 3: Cross multiply
   25,085x = 37,628 × 37,628
4. Step 4: Simplify right side
   25,085x = 1,415,866,384
5. Step 5: Solve for x
   x = 1,415,866,384/25,085
6. Step 6: Final answer
   x = 56,442.75