Finding the Third Proportional to 37,962 and 52,638.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,962 : 52,638.75 = 52,638.75 : x
2. Step 2: Convert to fraction form
   37,962/52,638.75 = 52,638.75/x
3. Step 3: Cross multiply
   37,962x = 52,638.75 × 52,638.75
4. Step 4: Simplify right side
   37,962x = 2,770,838,001.56
5. Step 5: Solve for x
   x = 2,770,838,001.56/37,962
6. Step 6: Final answer
   x = 72,989.78