Finding the Third Proportional to 38,067.50 and 83,729

Step by Step Solution

1. Step 1: Write the proportion equation
   38,067.50 : 83,729 = 83,729 : x
2. Step 2: Convert to fraction form
   38,067.50/83,729 = 83,729/x
3. Step 3: Cross multiply
   38,067.50x = 83,729 × 83,729
4. Step 4: Simplify right side
   38,067.50x = 7,010,545,441
5. Step 5: Solve for x
   x = 7,010,545,441/38,067.50
6. Step 6: Final answer
   x = 184,160.91