Finding the Third Proportional to 46,701 and 72,513

Step by Step Solution

1. Step 1: Write the proportion equation
   46,701 : 72,513 = 72,513 : x
2. Step 2: Convert to fraction form
   46,701/72,513 = 72,513/x
3. Step 3: Cross multiply
   46,701x = 72,513 × 72,513
4. Step 4: Simplify right side
   46,701x = 5,258,135,169
5. Step 5: Solve for x
   x = 5,258,135,169/46,701
6. Step 6: Final answer
   x = 112,591.49