Finding the Third Proportional to 61,621 and 89,029

Step by Step Solution

1. Step 1: Write the proportion equation
   61,621 : 89,029 = 89,029 : x
2. Step 2: Convert to fraction form
   61,621/89,029 = 89,029/x
3. Step 3: Cross multiply
   61,621x = 89,029 × 89,029
4. Step 4: Simplify right side
   61,621x = 7,926,162,841
5. Step 5: Solve for x
   x = 7,926,162,841/61,621
6. Step 6: Final answer
   x = 128,627.62