Finding the Third Proportional to 37,523 and 52,770

Step by Step Solution

1. Step 1: Write the proportion equation
   37,523 : 52,770 = 52,770 : x
2. Step 2: Convert to fraction form
   37,523/52,770 = 52,770/x
3. Step 3: Cross multiply
   37,523x = 52,770 × 52,770
4. Step 4: Simplify right side
   37,523x = 2,784,672,900
5. Step 5: Solve for x
   x = 2,784,672,900/37,523
6. Step 6: Final answer
   x = 74,212.43