Finding the Third Proportional to 17,626 and 38,156

Step by Step Solution

1. Step 1: Write the proportion equation
   17,626 : 38,156 = 38,156 : x
2. Step 2: Convert to fraction form
   17,626/38,156 = 38,156/x
3. Step 3: Cross multiply
   17,626x = 38,156 × 38,156
4. Step 4: Simplify right side
   17,626x = 1,455,880,336
5. Step 5: Solve for x
   x = 1,455,880,336/17,626
6. Step 6: Final answer
   x = 82,598.45