Finding the Third Proportional to 37,788 and 52,830

Step by Step Solution

1. Step 1: Write the proportion equation
   37,788 : 52,830 = 52,830 : x
2. Step 2: Convert to fraction form
   37,788/52,830 = 52,830/x
3. Step 3: Cross multiply
   37,788x = 52,830 × 52,830
4. Step 4: Simplify right side
   37,788x = 2,791,008,900
5. Step 5: Solve for x
   x = 2,791,008,900/37,788
6. Step 6: Final answer
   x = 73,859.66