Finding the Third Proportional to 37,038 and 52,926

Step by Step Solution

1. Step 1: Write the proportion equation
   37,038 : 52,926 = 52,926 : x
2. Step 2: Convert to fraction form
   37,038/52,926 = 52,926/x
3. Step 3: Cross multiply
   37,038x = 52,926 × 52,926
4. Step 4: Simplify right side
   37,038x = 2,801,161,476
5. Step 5: Solve for x
   x = 2,801,161,476/37,038
6. Step 6: Final answer
   x = 75,629.39