Finding the Third Proportional to 10,077 and 13,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077 : 13,096.50 = 13,096.50 : x
2. Step 2: Convert to fraction form
   10,077/13,096.50 = 13,096.50/x
3. Step 3: Cross multiply
   10,077x = 13,096.50 × 13,096.50
4. Step 4: Simplify right side
   10,077x = 171,518,312.25
5. Step 5: Solve for x
   x = 171,518,312.25/10,077
6. Step 6: Final answer
   x = 17,020.77