Finding the Third Proportional to 36,788.50 and 79,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,788.50 : 79,405.50 = 79,405.50 : x
2. Step 2: Convert to fraction form
   36,788.50/79,405.50 = 79,405.50/x
3. Step 3: Cross multiply
   36,788.50x = 79,405.50 × 79,405.50
4. Step 4: Simplify right side
   36,788.50x = 6,305,233,430.25
5. Step 5: Solve for x
   x = 6,305,233,430.25/36,788.50
6. Step 6: Final answer
   x = 171,391.42