Finding the Third Proportional to 37,076 and 82,442

Step by Step Solution

1. Step 1: Write the proportion equation
   37,076 : 82,442 = 82,442 : x
2. Step 2: Convert to fraction form
   37,076/82,442 = 82,442/x
3. Step 3: Cross multiply
   37,076x = 82,442 × 82,442
4. Step 4: Simplify right side
   37,076x = 6,796,683,364
5. Step 5: Solve for x
   x = 6,796,683,364/37,076
6. Step 6: Final answer
   x = 183,317.60