Finding the Third Proportional to 37,194 and 52,020

Step by Step Solution

1. Step 1: Write the proportion equation
   37,194 : 52,020 = 52,020 : x
2. Step 2: Convert to fraction form
   37,194/52,020 = 52,020/x
3. Step 3: Cross multiply
   37,194x = 52,020 × 52,020
4. Step 4: Simplify right side
   37,194x = 2,706,080,400
5. Step 5: Solve for x
   x = 2,706,080,400/37,194
6. Step 6: Final answer
   x = 72,755.83