Finding the Third Proportional to 37,575 and 82,602

Step by Step Solution

1. Step 1: Write the proportion equation
   37,575 : 82,602 = 82,602 : x
2. Step 2: Convert to fraction form
   37,575/82,602 = 82,602/x
3. Step 3: Cross multiply
   37,575x = 82,602 × 82,602
4. Step 4: Simplify right side
   37,575x = 6,823,090,404
5. Step 5: Solve for x
   x = 6,823,090,404/37,575
6. Step 6: Final answer
   x = 181,585.91