Finding the Third Proportional to 73,014 and 105,513

Step by Step Solution

1. Step 1: Write the proportion equation
   73,014 : 105,513 = 105,513 : x
2. Step 2: Convert to fraction form
   73,014/105,513 = 105,513/x
3. Step 3: Cross multiply
   73,014x = 105,513 × 105,513
4. Step 4: Simplify right side
   73,014x = 11,132,993,169
5. Step 5: Solve for x
   x = 11,132,993,169/73,014
6. Step 6: Final answer
   x = 152,477.51