Finding the Third Proportional to 37,580 and 87,380

Step by Step Solution

1. Step 1: Write the proportion equation
   37,580 : 87,380 = 87,380 : x
2. Step 2: Convert to fraction form
   37,580/87,380 = 87,380/x
3. Step 3: Cross multiply
   37,580x = 87,380 × 87,380
4. Step 4: Simplify right side
   37,580x = 7,635,264,400
5. Step 5: Solve for x
   x = 7,635,264,400/37,580
6. Step 6: Final answer
   x = 203,173.61