Finding the Third Proportional to 37,094 and 82,482

Step by Step Solution

1. Step 1: Write the proportion equation
   37,094 : 82,482 = 82,482 : x
2. Step 2: Convert to fraction form
   37,094/82,482 = 82,482/x
3. Step 3: Cross multiply
   37,094x = 82,482 × 82,482
4. Step 4: Simplify right side
   37,094x = 6,803,280,324
5. Step 5: Solve for x
   x = 6,803,280,324/37,094
6. Step 6: Final answer
   x = 183,406.49