Finding the Third Proportional to 39,144 and 85,338

Step by Step Solution

1. Step 1: Write the proportion equation
   39,144 : 85,338 = 85,338 : x
2. Step 2: Convert to fraction form
   39,144/85,338 = 85,338/x
3. Step 3: Cross multiply
   39,144x = 85,338 × 85,338
4. Step 4: Simplify right side
   39,144x = 7,282,574,244
5. Step 5: Solve for x
   x = 7,282,574,244/39,144
6. Step 6: Final answer
   x = 186,045.73