Finding the Third Proportional to 17,971 and 37,094

Step by Step Solution

1. Step 1: Write the proportion equation
   17,971 : 37,094 = 37,094 : x
2. Step 2: Convert to fraction form
   17,971/37,094 = 37,094/x
3. Step 3: Cross multiply
   17,971x = 37,094 × 37,094
4. Step 4: Simplify right side
   17,971x = 1,375,964,836
5. Step 5: Solve for x
   x = 1,375,964,836/17,971
6. Step 6: Final answer
   x = 76,565.85