Finding the Third Proportional to 37,974.98 and 83,098.22

Step by Step Solution

1. Step 1: Write the proportion equation
   37,974.98 : 83,098.22 = 83,098.22 : x
2. Step 2: Convert to fraction form
   37,974.98/83,098.22 = 83,098.22/x
3. Step 3: Cross multiply
   37,974.98x = 83,098.22 × 83,098.22
4. Step 4: Simplify right side
   37,974.98x = 6,905,313,959.42
5. Step 5: Solve for x
   x = 6,905,313,959.42/37,974.98
6. Step 6: Final answer
   x = 181,838.49