Finding the Third Proportional to 13,138.50 and 30,384.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,138.50 : 30,384.75 = 30,384.75 : x
2. Step 2: Convert to fraction form
   13,138.50/30,384.75 = 30,384.75/x
3. Step 3: Cross multiply
   13,138.50x = 30,384.75 × 30,384.75
4. Step 4: Simplify right side
   13,138.50x = 923,233,032.56
5. Step 5: Solve for x
   x = 923,233,032.56/13,138.50
6. Step 6: Final answer
   x = 70,269.29