Finding the Third Proportional to 38,365 and 83,846

Step by Step Solution

1. Step 1: Write the proportion equation
   38,365 : 83,846 = 83,846 : x
2. Step 2: Convert to fraction form
   38,365/83,846 = 83,846/x
3. Step 3: Cross multiply
   38,365x = 83,846 × 83,846
4. Step 4: Simplify right side
   38,365x = 7,030,151,716
5. Step 5: Solve for x
   x = 7,030,151,716/38,365
6. Step 6: Final answer
   x = 183,243.89