Finding the Third Proportional to 25,206 and 37,080

Step by Step Solution

1. Step 1: Write the proportion equation
   25,206 : 37,080 = 37,080 : x
2. Step 2: Convert to fraction form
   25,206/37,080 = 37,080/x
3. Step 3: Cross multiply
   25,206x = 37,080 × 37,080
4. Step 4: Simplify right side
   25,206x = 1,374,926,400
5. Step 5: Solve for x
   x = 1,374,926,400/25,206
6. Step 6: Final answer
   x = 54,547.58