Finding the Third Proportional to 37,807 and 82,522

Step by Step Solution

1. Step 1: Write the proportion equation
   37,807 : 82,522 = 82,522 : x
2. Step 2: Convert to fraction form
   37,807/82,522 = 82,522/x
3. Step 3: Cross multiply
   37,807x = 82,522 × 82,522
4. Step 4: Simplify right side
   37,807x = 6,809,880,484
5. Step 5: Solve for x
   x = 6,809,880,484/37,807
6. Step 6: Final answer
   x = 180,122.21