Finding the Third Proportional to 37,603 and 82,646

Step by Step Solution

1. Step 1: Write the proportion equation
   37,603 : 82,646 = 82,646 : x
2. Step 2: Convert to fraction form
   37,603/82,646 = 82,646/x
3. Step 3: Cross multiply
   37,603x = 82,646 × 82,646
4. Step 4: Simplify right side
   37,603x = 6,830,361,316
5. Step 5: Solve for x
   x = 6,830,361,316/37,603
6. Step 6: Final answer
   x = 181,644.05