Finding the Third Proportional to 37,109 and 87,513

Step by Step Solution

1. Step 1: Write the proportion equation
   37,109 : 87,513 = 87,513 : x
2. Step 2: Convert to fraction form
   37,109/87,513 = 87,513/x
3. Step 3: Cross multiply
   37,109x = 87,513 × 87,513
4. Step 4: Simplify right side
   37,109x = 7,658,525,169
5. Step 5: Solve for x
   x = 7,658,525,169/37,109
6. Step 6: Final answer
   x = 206,379.18