Finding the Third Proportional to 37,412 and 82,094

Step by Step Solution

1. Step 1: Write the proportion equation
   37,412 : 82,094 = 82,094 : x
2. Step 2: Convert to fraction form
   37,412/82,094 = 82,094/x
3. Step 3: Cross multiply
   37,412x = 82,094 × 82,094
4. Step 4: Simplify right side
   37,412x = 6,739,424,836
5. Step 5: Solve for x
   x = 6,739,424,836/37,412
6. Step 6: Final answer
   x = 180,140.73