Finding the Third Proportional to 38,024 and 84,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,024 : 84,782.50 = 84,782.50 : x
2. Step 2: Convert to fraction form
   38,024/84,782.50 = 84,782.50/x
3. Step 3: Cross multiply
   38,024x = 84,782.50 × 84,782.50
4. Step 4: Simplify right side
   38,024x = 7,188,072,306.25
5. Step 5: Solve for x
   x = 7,188,072,306.25/38,024
6. Step 6: Final answer
   x = 189,040.40