Finding the Third Proportional to 37,386 and 64,503

Step by Step Solution

1. Step 1: Write the proportion equation
   37,386 : 64,503 = 64,503 : x
2. Step 2: Convert to fraction form
   37,386/64,503 = 64,503/x
3. Step 3: Cross multiply
   37,386x = 64,503 × 64,503
4. Step 4: Simplify right side
   37,386x = 4,160,637,009
5. Step 5: Solve for x
   x = 4,160,637,009/37,386
6. Step 6: Final answer
   x = 111,288.64