Finding the Third Proportional to 37,590 and 80,364

Step by Step Solution

1. Step 1: Write the proportion equation
   37,590 : 80,364 = 80,364 : x
2. Step 2: Convert to fraction form
   37,590/80,364 = 80,364/x
3. Step 3: Cross multiply
   37,590x = 80,364 × 80,364
4. Step 4: Simplify right side
   37,590x = 6,458,372,496
5. Step 5: Solve for x
   x = 6,458,372,496/37,590
6. Step 6: Final answer
   x = 171,810.92