Finding the Third Proportional to 37,624 and 82,988

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624 : 82,988 = 82,988 : x
2. Step 2: Convert to fraction form
   37,624/82,988 = 82,988/x
3. Step 3: Cross multiply
   37,624x = 82,988 × 82,988
4. Step 4: Simplify right side
   37,624x = 6,887,008,144
5. Step 5: Solve for x
   x = 6,887,008,144/37,624
6. Step 6: Final answer
   x = 183,048.27