Finding the Third Proportional to 37,616 and 89,120

Step by Step Solution

1. Step 1: Write the proportion equation
   37,616 : 89,120 = 89,120 : x
2. Step 2: Convert to fraction form
   37,616/89,120 = 89,120/x
3. Step 3: Cross multiply
   37,616x = 89,120 × 89,120
4. Step 4: Simplify right side
   37,616x = 7,942,374,400
5. Step 5: Solve for x
   x = 7,942,374,400/37,616
6. Step 6: Final answer
   x = 211,143.51