Finding the Third Proportional to 17,880 and 37,768

Step by Step Solution

1. Step 1: Write the proportion equation
   17,880 : 37,768 = 37,768 : x
2. Step 2: Convert to fraction form
   17,880/37,768 = 37,768/x
3. Step 3: Cross multiply
   17,880x = 37,768 × 37,768
4. Step 4: Simplify right side
   17,880x = 1,426,421,824
5. Step 5: Solve for x
   x = 1,426,421,824/17,880
6. Step 6: Final answer
   x = 79,777.51