Finding the Third Proportional to 17,114 and 37,832

Step by Step Solution

1. Step 1: Write the proportion equation
   17,114 : 37,832 = 37,832 : x
2. Step 2: Convert to fraction form
   17,114/37,832 = 37,832/x
3. Step 3: Cross multiply
   17,114x = 37,832 × 37,832
4. Step 4: Simplify right side
   17,114x = 1,431,260,224
5. Step 5: Solve for x
   x = 1,431,260,224/17,114
6. Step 6: Final answer
   x = 83,630.96