Finding the Third Proportional to 37,664 and 76,480

Step by Step Solution

1. Step 1: Write the proportion equation
   37,664 : 76,480 = 76,480 : x
2. Step 2: Convert to fraction form
   37,664/76,480 = 76,480/x
3. Step 3: Cross multiply
   37,664x = 76,480 × 76,480
4. Step 4: Simplify right side
   37,664x = 5,849,190,400
5. Step 5: Solve for x
   x = 5,849,190,400/37,664
6. Step 6: Final answer
   x = 155,299.24