Finding the Third Proportional to 37,740 and 56,604

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740 : 56,604 = 56,604 : x
2. Step 2: Convert to fraction form
   37,740/56,604 = 56,604/x
3. Step 3: Cross multiply
   37,740x = 56,604 × 56,604
4. Step 4: Simplify right side
   37,740x = 3,204,012,816
5. Step 5: Solve for x
   x = 3,204,012,816/37,740
6. Step 6: Final answer
   x = 84,897.00