Finding the Third Proportional to 18,083 and 37,047

Step by Step Solution

1. Step 1: Write the proportion equation
   18,083 : 37,047 = 37,047 : x
2. Step 2: Convert to fraction form
   18,083/37,047 = 37,047/x
3. Step 3: Cross multiply
   18,083x = 37,047 × 37,047
4. Step 4: Simplify right side
   18,083x = 1,372,480,209
5. Step 5: Solve for x
   x = 1,372,480,209/18,083
6. Step 6: Final answer
   x = 75,898.92