Finding the Third Proportional to 69,066 and 106,650

Step by Step Solution

1. Step 1: Write the proportion equation
   69,066 : 106,650 = 106,650 : x
2. Step 2: Convert to fraction form
   69,066/106,650 = 106,650/x
3. Step 3: Cross multiply
   69,066x = 106,650 × 106,650
4. Step 4: Simplify right side
   69,066x = 11,374,222,500
5. Step 5: Solve for x
   x = 11,374,222,500/69,066
6. Step 6: Final answer
   x = 164,686.28