Finding the Third Proportional to 37,480 and 86,772

Step by Step Solution

1. Step 1: Write the proportion equation
   37,480 : 86,772 = 86,772 : x
2. Step 2: Convert to fraction form
   37,480/86,772 = 86,772/x
3. Step 3: Cross multiply
   37,480x = 86,772 × 86,772
4. Step 4: Simplify right side
   37,480x = 7,529,379,984
5. Step 5: Solve for x
   x = 7,529,379,984/37,480
6. Step 6: Final answer
   x = 200,890.61