Finding the Third Proportional to 37,528 and 80,880

Step by Step Solution

1. Step 1: Write the proportion equation
   37,528 : 80,880 = 80,880 : x
2. Step 2: Convert to fraction form
   37,528/80,880 = 80,880/x
3. Step 3: Cross multiply
   37,528x = 80,880 × 80,880
4. Step 4: Simplify right side
   37,528x = 6,541,574,400
5. Step 5: Solve for x
   x = 6,541,574,400/37,528
6. Step 6: Final answer
   x = 174,311.83