Finding the Third Proportional to 38,088 and 82,530

Step by Step Solution

1. Step 1: Write the proportion equation
   38,088 : 82,530 = 82,530 : x
2. Step 2: Convert to fraction form
   38,088/82,530 = 82,530/x
3. Step 3: Cross multiply
   38,088x = 82,530 × 82,530
4. Step 4: Simplify right side
   38,088x = 6,811,200,900
5. Step 5: Solve for x
   x = 6,811,200,900/38,088
6. Step 6: Final answer
   x = 178,828.00