Finding the Third Proportional to 17,255 and 37,102

Step by Step Solution

1. Step 1: Write the proportion equation
   17,255 : 37,102 = 37,102 : x
2. Step 2: Convert to fraction form
   17,255/37,102 = 37,102/x
3. Step 3: Cross multiply
   17,255x = 37,102 × 37,102
4. Step 4: Simplify right side
   17,255x = 1,376,558,404
5. Step 5: Solve for x
   x = 1,376,558,404/17,255
6. Step 6: Final answer
   x = 79,777.36