Finding the Third Proportional to 24,889 and 53,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,889 : 53,736.50 = 53,736.50 : x
2. Step 2: Convert to fraction form
   24,889/53,736.50 = 53,736.50/x
3. Step 3: Cross multiply
   24,889x = 53,736.50 × 53,736.50
4. Step 4: Simplify right side
   24,889x = 2,887,611,432.25
5. Step 5: Solve for x
   x = 2,887,611,432.25/24,889
6. Step 6: Final answer
   x = 116,019.58