Finding the Third Proportional to 26,209 and 55,376

Step by Step Solution

1. Step 1: Write the proportion equation
   26,209 : 55,376 = 55,376 : x
2. Step 2: Convert to fraction form
   26,209/55,376 = 55,376/x
3. Step 3: Cross multiply
   26,209x = 55,376 × 55,376
4. Step 4: Simplify right side
   26,209x = 3,066,501,376
5. Step 5: Solve for x
   x = 3,066,501,376/26,209
6. Step 6: Final answer
   x = 117,001.85