Finding the Third Proportional to 30,250 and 65,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,250 : 65,748.50 = 65,748.50 : x
2. Step 2: Convert to fraction form
   30,250/65,748.50 = 65,748.50/x
3. Step 3: Cross multiply
   30,250x = 65,748.50 × 65,748.50
4. Step 4: Simplify right side
   30,250x = 4,322,865,252.25
5. Step 5: Solve for x
   x = 4,322,865,252.25/30,250
6. Step 6: Final answer
   x = 142,904.64