Finding the Third Proportional to 37,495 and 52,742

Step by Step Solution

1. Step 1: Write the proportion equation
   37,495 : 52,742 = 52,742 : x
2. Step 2: Convert to fraction form
   37,495/52,742 = 52,742/x
3. Step 3: Cross multiply
   37,495x = 52,742 × 52,742
4. Step 4: Simplify right side
   37,495x = 2,781,718,564
5. Step 5: Solve for x
   x = 2,781,718,564/37,495
6. Step 6: Final answer
   x = 74,189.05