Finding the Third Proportional to 38,241.38 and 82,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,241.38 : 82,837.50 = 82,837.50 : x
2. Step 2: Convert to fraction form
   38,241.38/82,837.50 = 82,837.50/x
3. Step 3: Cross multiply
   38,241.38x = 82,837.50 × 82,837.50
4. Step 4: Simplify right side
   38,241.38x = 6,862,051,406.25
5. Step 5: Solve for x
   x = 6,862,051,406.25/38,241.38
6. Step 6: Final answer
   x = 179,440.50