Finding the Third Proportional to 37,068 and 82,426

Step by Step Solution

1. Step 1: Write the proportion equation
   37,068 : 82,426 = 82,426 : x
2. Step 2: Convert to fraction form
   37,068/82,426 = 82,426/x
3. Step 3: Cross multiply
   37,068x = 82,426 × 82,426
4. Step 4: Simplify right side
   37,068x = 6,794,045,476
5. Step 5: Solve for x
   x = 6,794,045,476/37,068
6. Step 6: Final answer
   x = 183,286.00