Finding the Third Proportional to 64,464 and 100,026

Step by Step Solution

1. Step 1: Write the proportion equation
   64,464 : 100,026 = 100,026 : x
2. Step 2: Convert to fraction form
   64,464/100,026 = 100,026/x
3. Step 3: Cross multiply
   64,464x = 100,026 × 100,026
4. Step 4: Simplify right side
   64,464x = 10,005,200,676
5. Step 5: Solve for x
   x = 10,005,200,676/64,464
6. Step 6: Final answer
   x = 155,206.02