Finding the Third Proportional to 16,570 and 35,964

Step by Step Solution

1. Step 1: Write the proportion equation
   16,570 : 35,964 = 35,964 : x
2. Step 2: Convert to fraction form
   16,570/35,964 = 35,964/x
3. Step 3: Cross multiply
   16,570x = 35,964 × 35,964
4. Step 4: Simplify right side
   16,570x = 1,293,409,296
5. Step 5: Solve for x
   x = 1,293,409,296/16,570
6. Step 6: Final answer
   x = 78,057.29