Finding the Third Proportional to 38,758.50 and 71,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,758.50 : 71,978.63 = 71,978.63 : x
2. Step 2: Convert to fraction form
   38,758.50/71,978.63 = 71,978.63/x
3. Step 3: Cross multiply
   38,758.50x = 71,978.63 × 71,978.63
4. Step 4: Simplify right side
   38,758.50x = 5,180,922,456.89
5. Step 5: Solve for x
   x = 5,180,922,456.89/38,758.50
6. Step 6: Final answer
   x = 133,671.90