Finding the Third Proportional to 42,364 and 83,665

Step by Step Solution

1. Step 1: Write the proportion equation
   42,364 : 83,665 = 83,665 : x
2. Step 2: Convert to fraction form
   42,364/83,665 = 83,665/x
3. Step 3: Cross multiply
   42,364x = 83,665 × 83,665
4. Step 4: Simplify right side
   42,364x = 6,999,832,225
5. Step 5: Solve for x
   x = 6,999,832,225/42,364
6. Step 6: Final answer
   x = 165,230.67