Finding the Third Proportional to 38,778.75 and 79,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,778.75 : 79,987.50 = 79,987.50 : x
2. Step 2: Convert to fraction form
   38,778.75/79,987.50 = 79,987.50/x
3. Step 3: Cross multiply
   38,778.75x = 79,987.50 × 79,987.50
4. Step 4: Simplify right side
   38,778.75x = 6,398,000,156.25
5. Step 5: Solve for x
   x = 6,398,000,156.25/38,778.75
6. Step 6: Final answer
   x = 164,987.27