Finding the Third Proportional to 26,346 and 57,066

Step by Step Solution

1. Step 1: Write the proportion equation
   26,346 : 57,066 = 57,066 : x
2. Step 2: Convert to fraction form
   26,346/57,066 = 57,066/x
3. Step 3: Cross multiply
   26,346x = 57,066 × 57,066
4. Step 4: Simplify right side
   26,346x = 3,256,528,356
5. Step 5: Solve for x
   x = 3,256,528,356/26,346
6. Step 6: Final answer
   x = 123,606.18