Finding the Third Proportional to 37,585 and 55,147

Step by Step Solution

1. Step 1: Write the proportion equation
   37,585 : 55,147 = 55,147 : x
2. Step 2: Convert to fraction form
   37,585/55,147 = 55,147/x
3. Step 3: Cross multiply
   37,585x = 55,147 × 55,147
4. Step 4: Simplify right side
   37,585x = 3,041,191,609
5. Step 5: Solve for x
   x = 3,041,191,609/37,585
6. Step 6: Final answer
   x = 80,915.04