Finding the Third Proportional to 13,000.50 and 30,678.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,000.50 : 30,678.75 = 30,678.75 : x
2. Step 2: Convert to fraction form
   13,000.50/30,678.75 = 30,678.75/x
3. Step 3: Cross multiply
   13,000.50x = 30,678.75 × 30,678.75
4. Step 4: Simplify right side
   13,000.50x = 941,185,701.56
5. Step 5: Solve for x
   x = 941,185,701.56/13,000.50
6. Step 6: Final answer
   x = 72,396.12