Finding the Third Proportional to 37,660 and 56,308

Step by Step Solution

1. Step 1: Write the proportion equation
   37,660 : 56,308 = 56,308 : x
2. Step 2: Convert to fraction form
   37,660/56,308 = 56,308/x
3. Step 3: Cross multiply
   37,660x = 56,308 × 56,308
4. Step 4: Simplify right side
   37,660x = 3,170,590,864
5. Step 5: Solve for x
   x = 3,170,590,864/37,660
6. Step 6: Final answer
   x = 84,189.88