Finding the Third Proportional to 16,202 and 38,146

Step by Step Solution

1. Step 1: Write the proportion equation
   16,202 : 38,146 = 38,146 : x
2. Step 2: Convert to fraction form
   16,202/38,146 = 38,146/x
3. Step 3: Cross multiply
   16,202x = 38,146 × 38,146
4. Step 4: Simplify right side
   16,202x = 1,455,117,316
5. Step 5: Solve for x
   x = 1,455,117,316/16,202
6. Step 6: Final answer
   x = 89,810.97