Finding the Third Proportional to 37,613.50 and 82,607

Step by Step Solution

1. Step 1: Write the proportion equation
   37,613.50 : 82,607 = 82,607 : x
2. Step 2: Convert to fraction form
   37,613.50/82,607 = 82,607/x
3. Step 3: Cross multiply
   37,613.50x = 82,607 × 82,607
4. Step 4: Simplify right side
   37,613.50x = 6,823,916,449
5. Step 5: Solve for x
   x = 6,823,916,449/37,613.50
6. Step 6: Final answer
   x = 181,422.00