Finding the Third Proportional to 38,277 and 59,130

Step by Step Solution

1. Step 1: Write the proportion equation
   38,277 : 59,130 = 59,130 : x
2. Step 2: Convert to fraction form
   38,277/59,130 = 59,130/x
3. Step 3: Cross multiply
   38,277x = 59,130 × 59,130
4. Step 4: Simplify right side
   38,277x = 3,496,356,900
5. Step 5: Solve for x
   x = 3,496,356,900/38,277
6. Step 6: Final answer
   x = 91,343.55