Finding the Third Proportional to 37,598 and 89,072

Step by Step Solution

1. Step 1: Write the proportion equation
   37,598 : 89,072 = 89,072 : x
2. Step 2: Convert to fraction form
   37,598/89,072 = 89,072/x
3. Step 3: Cross multiply
   37,598x = 89,072 × 89,072
4. Step 4: Simplify right side
   37,598x = 7,933,821,184
5. Step 5: Solve for x
   x = 7,933,821,184/37,598
6. Step 6: Final answer
   x = 211,017.11