Finding the Third Proportional to 37,849.50 and 78,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,849.50 : 78,128.50 = 78,128.50 : x
2. Step 2: Convert to fraction form
   37,849.50/78,128.50 = 78,128.50/x
3. Step 3: Cross multiply
   37,849.50x = 78,128.50 × 78,128.50
4. Step 4: Simplify right side
   37,849.50x = 6,104,062,512.25
5. Step 5: Solve for x
   x = 6,104,062,512.25/37,849.50
6. Step 6: Final answer
   x = 161,271.95