Finding the Third Proportional to 26,946 and 59,189.06

Step by Step Solution

1. Step 1: Write the proportion equation
   26,946 : 59,189.06 = 59,189.06 : x
2. Step 2: Convert to fraction form
   26,946/59,189.06 = 59,189.06/x
3. Step 3: Cross multiply
   26,946x = 59,189.06 × 59,189.06
4. Step 4: Simplify right side
   26,946x = 3,503,345,119.63
5. Step 5: Solve for x
   x = 3,503,345,119.63/26,946
6. Step 6: Final answer
   x = 130,013.55