Finding the Third Proportional to 37,009 and 56,435

Step by Step Solution

1. Step 1: Write the proportion equation
   37,009 : 56,435 = 56,435 : x
2. Step 2: Convert to fraction form
   37,009/56,435 = 56,435/x
3. Step 3: Cross multiply
   37,009x = 56,435 × 56,435
4. Step 4: Simplify right side
   37,009x = 3,184,909,225
5. Step 5: Solve for x
   x = 3,184,909,225/37,009
6. Step 6: Final answer
   x = 86,057.69