Finding the Third Proportional to 37,262 and 56,374

Step by Step Solution

1. Step 1: Write the proportion equation
   37,262 : 56,374 = 56,374 : x
2. Step 2: Convert to fraction form
   37,262/56,374 = 56,374/x
3. Step 3: Cross multiply
   37,262x = 56,374 × 56,374
4. Step 4: Simplify right side
   37,262x = 3,178,027,876
5. Step 5: Solve for x
   x = 3,178,027,876/37,262
6. Step 6: Final answer
   x = 85,288.71