Finding the Third Proportional to 37,080 and 76,620

Step by Step Solution

1. Step 1: Write the proportion equation
   37,080 : 76,620 = 76,620 : x
2. Step 2: Convert to fraction form
   37,080/76,620 = 76,620/x
3. Step 3: Cross multiply
   37,080x = 76,620 × 76,620
4. Step 4: Simplify right side
   37,080x = 5,870,624,400
5. Step 5: Solve for x
   x = 5,870,624,400/37,080
6. Step 6: Final answer
   x = 158,323.20