Finding the Third Proportional to 26,646 and 54,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,646 : 54,802.50 = 54,802.50 : x
2. Step 2: Convert to fraction form
   26,646/54,802.50 = 54,802.50/x
3. Step 3: Cross multiply
   26,646x = 54,802.50 × 54,802.50
4. Step 4: Simplify right side
   26,646x = 3,003,314,006.25
5. Step 5: Solve for x
   x = 3,003,314,006.25/26,646
6. Step 6: Final answer
   x = 112,711.63