Finding the Third Proportional to 37,996 and 83,281

Step by Step Solution

1. Step 1: Write the proportion equation
   37,996 : 83,281 = 83,281 : x
2. Step 2: Convert to fraction form
   37,996/83,281 = 83,281/x
3. Step 3: Cross multiply
   37,996x = 83,281 × 83,281
4. Step 4: Simplify right side
   37,996x = 6,935,724,961
5. Step 5: Solve for x
   x = 6,935,724,961/37,996
6. Step 6: Final answer
   x = 182,538.29