Finding the Third Proportional to 17,102 and 37,364

Step by Step Solution

1. Step 1: Write the proportion equation
   17,102 : 37,364 = 37,364 : x
2. Step 2: Convert to fraction form
   17,102/37,364 = 37,364/x
3. Step 3: Cross multiply
   17,102x = 37,364 × 37,364
4. Step 4: Simplify right side
   17,102x = 1,396,068,496
5. Step 5: Solve for x
   x = 1,396,068,496/17,102
6. Step 6: Final answer
   x = 81,631.88