Finding the Third Proportional to 37,748.53 and 79,984.97

Step by Step Solution

1. Step 1: Write the proportion equation
   37,748.53 : 79,984.97 = 79,984.97 : x
2. Step 2: Convert to fraction form
   37,748.53/79,984.97 = 79,984.97/x
3. Step 3: Cross multiply
   37,748.53x = 79,984.97 × 79,984.97
4. Step 4: Simplify right side
   37,748.53x = 6,397,595,225.94
5. Step 5: Solve for x
   x = 6,397,595,225.94/37,748.53
6. Step 6: Final answer
   x = 169,479.32