Finding the Third Proportional to 37,023 and 52,765

Step by Step Solution

1. Step 1: Write the proportion equation
   37,023 : 52,765 = 52,765 : x
2. Step 2: Convert to fraction form
   37,023/52,765 = 52,765/x
3. Step 3: Cross multiply
   37,023x = 52,765 × 52,765
4. Step 4: Simplify right side
   37,023x = 2,784,145,225
5. Step 5: Solve for x
   x = 2,784,145,225/37,023
6. Step 6: Final answer
   x = 75,200.42