Finding the Third Proportional to 37,608 and 89,100

Step by Step Solution

1. Step 1: Write the proportion equation
   37,608 : 89,100 = 89,100 : x
2. Step 2: Convert to fraction form
   37,608/89,100 = 89,100/x
3. Step 3: Cross multiply
   37,608x = 89,100 × 89,100
4. Step 4: Simplify right side
   37,608x = 7,938,810,000
5. Step 5: Solve for x
   x = 7,938,810,000/37,608
6. Step 6: Final answer
   x = 211,093.65