Finding the Third Proportional to 10,070 and 23,693

Step by Step Solution

1. Step 1: Write the proportion equation
   10,070 : 23,693 = 23,693 : x
2. Step 2: Convert to fraction form
   10,070/23,693 = 23,693/x
3. Step 3: Cross multiply
   10,070x = 23,693 × 23,693
4. Step 4: Simplify right side
   10,070x = 561,358,249
5. Step 5: Solve for x
   x = 561,358,249/10,070
6. Step 6: Final answer
   x = 55,745.61