Finding the Third Proportional to 37,959 and 83,301

Step by Step Solution

1. Step 1: Write the proportion equation
   37,959 : 83,301 = 83,301 : x
2. Step 2: Convert to fraction form
   37,959/83,301 = 83,301/x
3. Step 3: Cross multiply
   37,959x = 83,301 × 83,301
4. Step 4: Simplify right side
   37,959x = 6,939,056,601
5. Step 5: Solve for x
   x = 6,939,056,601/37,959
6. Step 6: Final answer
   x = 182,803.99