Finding the Third Proportional to 17,256 and 37,840

Step by Step Solution

1. Step 1: Write the proportion equation
   17,256 : 37,840 = 37,840 : x
2. Step 2: Convert to fraction form
   17,256/37,840 = 37,840/x
3. Step 3: Cross multiply
   17,256x = 37,840 × 37,840
4. Step 4: Simplify right side
   17,256x = 1,431,865,600
5. Step 5: Solve for x
   x = 1,431,865,600/17,256
6. Step 6: Final answer
   x = 82,977.84