Finding the Third Proportional to 37,468 and 82,468

Step by Step Solution

1. Step 1: Write the proportion equation
   37,468 : 82,468 = 82,468 : x
2. Step 2: Convert to fraction form
   37,468/82,468 = 82,468/x
3. Step 3: Cross multiply
   37,468x = 82,468 × 82,468
4. Step 4: Simplify right side
   37,468x = 6,800,971,024
5. Step 5: Solve for x
   x = 6,800,971,024/37,468
6. Step 6: Final answer
   x = 181,514.12