Finding the Third Proportional to 37,580 and 56,251

Step by Step Solution

1. Step 1: Write the proportion equation
   37,580 : 56,251 = 56,251 : x
2. Step 2: Convert to fraction form
   37,580/56,251 = 56,251/x
3. Step 3: Cross multiply
   37,580x = 56,251 × 56,251
4. Step 4: Simplify right side
   37,580x = 3,164,175,001
5. Step 5: Solve for x
   x = 3,164,175,001/37,580
6. Step 6: Final answer
   x = 84,198.38