Finding the Third Proportional to 38,103.75 and 83,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,103.75 : 83,585.25 = 83,585.25 : x
2. Step 2: Convert to fraction form
   38,103.75/83,585.25 = 83,585.25/x
3. Step 3: Cross multiply
   38,103.75x = 83,585.25 × 83,585.25
4. Step 4: Simplify right side
   38,103.75x = 6,986,494,017.56
5. Step 5: Solve for x
   x = 6,986,494,017.56/38,103.75
6. Step 6: Final answer
   x = 183,354.50