Finding the Third Proportional to 37,606 and 89,097

Step by Step Solution

1. Step 1: Write the proportion equation
   37,606 : 89,097 = 89,097 : x
2. Step 2: Convert to fraction form
   37,606/89,097 = 89,097/x
3. Step 3: Cross multiply
   37,606x = 89,097 × 89,097
4. Step 4: Simplify right side
   37,606x = 7,938,275,409
5. Step 5: Solve for x
   x = 7,938,275,409/37,606
6. Step 6: Final answer
   x = 211,090.66