Finding the Third Proportional to 66,788 and 100,014

Step by Step Solution

1. Step 1: Write the proportion equation
   66,788 : 100,014 = 100,014 : x
2. Step 2: Convert to fraction form
   66,788/100,014 = 100,014/x
3. Step 3: Cross multiply
   66,788x = 100,014 × 100,014
4. Step 4: Simplify right side
   66,788x = 10,002,800,196
5. Step 5: Solve for x
   x = 10,002,800,196/66,788
6. Step 6: Final answer
   x = 149,769.42