Finding the Third Proportional to 17,536 and 37,988

Step by Step Solution

1. Step 1: Write the proportion equation
   17,536 : 37,988 = 37,988 : x
2. Step 2: Convert to fraction form
   17,536/37,988 = 37,988/x
3. Step 3: Cross multiply
   17,536x = 37,988 × 37,988
4. Step 4: Simplify right side
   17,536x = 1,443,088,144
5. Step 5: Solve for x
   x = 1,443,088,144/17,536
6. Step 6: Final answer
   x = 82,292.89