Finding the Third Proportional to 23,184 and 37,071

Step by Step Solution

1. Step 1: Write the proportion equation
   23,184 : 37,071 = 37,071 : x
2. Step 2: Convert to fraction form
   23,184/37,071 = 37,071/x
3. Step 3: Cross multiply
   23,184x = 37,071 × 37,071
4. Step 4: Simplify right side
   23,184x = 1,374,259,041
5. Step 5: Solve for x
   x = 1,374,259,041/23,184
6. Step 6: Final answer
   x = 59,276.18