Finding the Third Proportional to 38,186 and 83,902

Step by Step Solution

1. Step 1: Write the proportion equation
   38,186 : 83,902 = 83,902 : x
2. Step 2: Convert to fraction form
   38,186/83,902 = 83,902/x
3. Step 3: Cross multiply
   38,186x = 83,902 × 83,902
4. Step 4: Simplify right side
   38,186x = 7,039,545,604
5. Step 5: Solve for x
   x = 7,039,545,604/38,186
6. Step 6: Final answer
   x = 184,348.86