Finding the Third Proportional to 33,872 and 45,690

Step by Step Solution

1. Step 1: Write the proportion equation
   33,872 : 45,690 = 45,690 : x
2. Step 2: Convert to fraction form
   33,872/45,690 = 45,690/x
3. Step 3: Cross multiply
   33,872x = 45,690 × 45,690
4. Step 4: Simplify right side
   33,872x = 2,087,576,100
5. Step 5: Solve for x
   x = 2,087,576,100/33,872
6. Step 6: Final answer
   x = 61,631.32