Finding the Third Proportional to 30,026 and 69,584

Step by Step Solution

1. Step 1: Write the proportion equation
   30,026 : 69,584 = 69,584 : x
2. Step 2: Convert to fraction form
   30,026/69,584 = 69,584/x
3. Step 3: Cross multiply
   30,026x = 69,584 × 69,584
4. Step 4: Simplify right side
   30,026x = 4,841,933,056
5. Step 5: Solve for x
   x = 4,841,933,056/30,026
6. Step 6: Final answer
   x = 161,258.01