Finding the Third Proportional to 28,578 and 61,097

Step by Step Solution

1. Step 1: Write the proportion equation
   28,578 : 61,097 = 61,097 : x
2. Step 2: Convert to fraction form
   28,578/61,097 = 61,097/x
3. Step 3: Cross multiply
   28,578x = 61,097 × 61,097
4. Step 4: Simplify right side
   28,578x = 3,732,843,409
5. Step 5: Solve for x
   x = 3,732,843,409/28,578
6. Step 6: Final answer
   x = 130,619.48