Finding the Third Proportional to 25,143 and 37,280

Step by Step Solution

1. Step 1: Write the proportion equation
   25,143 : 37,280 = 37,280 : x
2. Step 2: Convert to fraction form
   25,143/37,280 = 37,280/x
3. Step 3: Cross multiply
   25,143x = 37,280 × 37,280
4. Step 4: Simplify right side
   25,143x = 1,389,798,400
5. Step 5: Solve for x
   x = 1,389,798,400/25,143
6. Step 6: Final answer
   x = 55,275.76