Finding the Third Proportional to 37,973 and 83,260

Step by Step Solution

1. Step 1: Write the proportion equation
   37,973 : 83,260 = 83,260 : x
2. Step 2: Convert to fraction form
   37,973/83,260 = 83,260/x
3. Step 3: Cross multiply
   37,973x = 83,260 × 83,260
4. Step 4: Simplify right side
   37,973x = 6,932,227,600
5. Step 5: Solve for x
   x = 6,932,227,600/37,973
6. Step 6: Final answer
   x = 182,556.75