Finding the Third Proportional to 37,196 and 77,400

Step by Step Solution

1. Step 1: Write the proportion equation
   37,196 : 77,400 = 77,400 : x
2. Step 2: Convert to fraction form
   37,196/77,400 = 77,400/x
3. Step 3: Cross multiply
   37,196x = 77,400 × 77,400
4. Step 4: Simplify right side
   37,196x = 5,990,760,000
5. Step 5: Solve for x
   x = 5,990,760,000/37,196
6. Step 6: Final answer
   x = 161,059.25