Finding the Third Proportional to 8,070 and 10,513

Step by Step Solution

1. Step 1: Write the proportion equation
   8,070 : 10,513 = 10,513 : x
2. Step 2: Convert to fraction form
   8,070/10,513 = 10,513/x
3. Step 3: Cross multiply
   8,070x = 10,513 × 10,513
4. Step 4: Simplify right side
   8,070x = 110,523,169
5. Step 5: Solve for x
   x = 110,523,169/8,070
6. Step 6: Final answer
   x = 13,695.56