Finding the Third Proportional to 30,267 and 59,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,267 : 59,758.50 = 59,758.50 : x
2. Step 2: Convert to fraction form
   30,267/59,758.50 = 59,758.50/x
3. Step 3: Cross multiply
   30,267x = 59,758.50 × 59,758.50
4. Step 4: Simplify right side
   30,267x = 3,571,078,322.25
5. Step 5: Solve for x
   x = 3,571,078,322.25/30,267
6. Step 6: Final answer
   x = 117,985.87