Finding the Third Proportional to 26,154 and 53,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,154 : 53,698.50 = 53,698.50 : x
2. Step 2: Convert to fraction form
   26,154/53,698.50 = 53,698.50/x
3. Step 3: Cross multiply
   26,154x = 53,698.50 × 53,698.50
4. Step 4: Simplify right side
   26,154x = 2,883,528,902.25
5. Step 5: Solve for x
   x = 2,883,528,902.25/26,154
6. Step 6: Final answer
   x = 110,251.93