Finding the Third Proportional to 16,937 and 37,102

Step by Step Solution

1. Step 1: Write the proportion equation
   16,937 : 37,102 = 37,102 : x
2. Step 2: Convert to fraction form
   16,937/37,102 = 37,102/x
3. Step 3: Cross multiply
   16,937x = 37,102 × 37,102
4. Step 4: Simplify right side
   16,937x = 1,376,558,404
5. Step 5: Solve for x
   x = 1,376,558,404/16,937
6. Step 6: Final answer
   x = 81,275.22