Finding the Third Proportional to 2,092 and 4,602

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092 : 4,602 = 4,602 : x
2. Step 2: Convert to fraction form
   2,092/4,602 = 4,602/x
3. Step 3: Cross multiply
   2,092x = 4,602 × 4,602
4. Step 4: Simplify right side
   2,092x = 21,178,404
5. Step 5: Solve for x
   x = 21,178,404/2,092
6. Step 6: Final answer
   x = 10,123.52