Finding the Third Proportional to 64,581 and 100,698

Step by Step Solution

1. Step 1: Write the proportion equation
   64,581 : 100,698 = 100,698 : x
2. Step 2: Convert to fraction form
   64,581/100,698 = 100,698/x
3. Step 3: Cross multiply
   64,581x = 100,698 × 100,698
4. Step 4: Simplify right side
   64,581x = 10,140,087,204
5. Step 5: Solve for x
   x = 10,140,087,204/64,581
6. Step 6: Final answer
   x = 157,013.47