Finding the Third Proportional to 17,570 and 37,964

Step by Step Solution

1. Step 1: Write the proportion equation
   17,570 : 37,964 = 37,964 : x
2. Step 2: Convert to fraction form
   17,570/37,964 = 37,964/x
3. Step 3: Cross multiply
   17,570x = 37,964 × 37,964
4. Step 4: Simplify right side
   17,570x = 1,441,265,296
5. Step 5: Solve for x
   x = 1,441,265,296/17,570
6. Step 6: Final answer
   x = 82,029.90