Finding the Third Proportional to 17,102 and 37,566

Step by Step Solution

1. Step 1: Write the proportion equation
   17,102 : 37,566 = 37,566 : x
2. Step 2: Convert to fraction form
   17,102/37,566 = 37,566/x
3. Step 3: Cross multiply
   17,102x = 37,566 × 37,566
4. Step 4: Simplify right side
   17,102x = 1,411,204,356
5. Step 5: Solve for x
   x = 1,411,204,356/17,102
6. Step 6: Final answer
   x = 82,516.92