Finding the Third Proportional to 15,024 and 34,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,024 : 34,780.50 = 34,780.50 : x
2. Step 2: Convert to fraction form
   15,024/34,780.50 = 34,780.50/x
3. Step 3: Cross multiply
   15,024x = 34,780.50 × 34,780.50
4. Step 4: Simplify right side
   15,024x = 1,209,683,180.25
5. Step 5: Solve for x
   x = 1,209,683,180.25/15,024
6. Step 6: Final answer
   x = 80,516.72