Finding the Third Proportional to 37,984 and 78,400

Step by Step Solution

1. Step 1: Write the proportion equation
   37,984 : 78,400 = 78,400 : x
2. Step 2: Convert to fraction form
   37,984/78,400 = 78,400/x
3. Step 3: Cross multiply
   37,984x = 78,400 × 78,400
4. Step 4: Simplify right side
   37,984x = 6,146,560,000
5. Step 5: Solve for x
   x = 6,146,560,000/37,984
6. Step 6: Final answer
   x = 161,819.71