Finding the Third Proportional to 37,503 and 52,746

Step by Step Solution

1. Step 1: Write the proportion equation
   37,503 : 52,746 = 52,746 : x
2. Step 2: Convert to fraction form
   37,503/52,746 = 52,746/x
3. Step 3: Cross multiply
   37,503x = 52,746 × 52,746
4. Step 4: Simplify right side
   37,503x = 2,782,140,516
5. Step 5: Solve for x
   x = 2,782,140,516/37,503
6. Step 6: Final answer
   x = 74,184.48