Finding the Third Proportional to 26,646 and 55,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,646 : 55,477.50 = 55,477.50 : x
2. Step 2: Convert to fraction form
   26,646/55,477.50 = 55,477.50/x
3. Step 3: Cross multiply
   26,646x = 55,477.50 × 55,477.50
4. Step 4: Simplify right side
   26,646x = 3,077,753,006.25
5. Step 5: Solve for x
   x = 3,077,753,006.25/26,646
6. Step 6: Final answer
   x = 115,505.25