Finding the Third Proportional to 61,617 and 89,023

Step by Step Solution

1. Step 1: Write the proportion equation
   61,617 : 89,023 = 89,023 : x
2. Step 2: Convert to fraction form
   61,617/89,023 = 89,023/x
3. Step 3: Cross multiply
   61,617x = 89,023 × 89,023
4. Step 4: Simplify right side
   61,617x = 7,925,094,529
5. Step 5: Solve for x
   x = 7,925,094,529/61,617
6. Step 6: Final answer
   x = 128,618.64