Finding the Third Proportional to 28,770 and 61,538

Step by Step Solution

1. Step 1: Write the proportion equation
   28,770 : 61,538 = 61,538 : x
2. Step 2: Convert to fraction form
   28,770/61,538 = 61,538/x
3. Step 3: Cross multiply
   28,770x = 61,538 × 61,538
4. Step 4: Simplify right side
   28,770x = 3,786,925,444
5. Step 5: Solve for x
   x = 3,786,925,444/28,770
6. Step 6: Final answer
   x = 131,627.58