Finding the Third Proportional to 37,388 and 78,240

Step by Step Solution

1. Step 1: Write the proportion equation
   37,388 : 78,240 = 78,240 : x
2. Step 2: Convert to fraction form
   37,388/78,240 = 78,240/x
3. Step 3: Cross multiply
   37,388x = 78,240 × 78,240
4. Step 4: Simplify right side
   37,388x = 6,121,497,600
5. Step 5: Solve for x
   x = 6,121,497,600/37,388
6. Step 6: Final answer
   x = 163,728.94