Finding the Third Proportional to 38,603.25 and 82,557.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,603.25 : 82,557.75 = 82,557.75 : x
2. Step 2: Convert to fraction form
   38,603.25/82,557.75 = 82,557.75/x
3. Step 3: Cross multiply
   38,603.25x = 82,557.75 × 82,557.75
4. Step 4: Simplify right side
   38,603.25x = 6,815,782,085.06
5. Step 5: Solve for x
   x = 6,815,782,085.06/38,603.25
6. Step 6: Final answer
   x = 176,559.80