Finding the Third Proportional to 49,500 and 79,697.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,500 : 79,697.25 = 79,697.25 : x
2. Step 2: Convert to fraction form
   49,500/79,697.25 = 79,697.25/x
3. Step 3: Cross multiply
   49,500x = 79,697.25 × 79,697.25
4. Step 4: Simplify right side
   49,500x = 6,351,651,657.56
5. Step 5: Solve for x
   x = 6,351,651,657.56/49,500
6. Step 6: Final answer
   x = 128,316.20