Finding the Third Proportional to 37,746 and 52,164

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 52,164 = 52,164 : x
2. Step 2: Convert to fraction form
   37,746/52,164 = 52,164/x
3. Step 3: Cross multiply
   37,746x = 52,164 × 52,164
4. Step 4: Simplify right side
   37,746x = 2,721,082,896
5. Step 5: Solve for x
   x = 2,721,082,896/37,746
6. Step 6: Final answer
   x = 72,089.30