Finding the Third Proportional to 66,312 and 105,003

Step by Step Solution

1. Step 1: Write the proportion equation
   66,312 : 105,003 = 105,003 : x
2. Step 2: Convert to fraction form
   66,312/105,003 = 105,003/x
3. Step 3: Cross multiply
   66,312x = 105,003 × 105,003
4. Step 4: Simplify right side
   66,312x = 11,025,630,009
5. Step 5: Solve for x
   x = 11,025,630,009/66,312
6. Step 6: Final answer
   x = 166,269.00