Finding the Third Proportional to 37,587 and 56,262

Step by Step Solution

1. Step 1: Write the proportion equation
   37,587 : 56,262 = 56,262 : x
2. Step 2: Convert to fraction form
   37,587/56,262 = 56,262/x
3. Step 3: Cross multiply
   37,587x = 56,262 × 56,262
4. Step 4: Simplify right side
   37,587x = 3,165,412,644
5. Step 5: Solve for x
   x = 3,165,412,644/37,587
6. Step 6: Final answer
   x = 84,215.62