Finding the Third Proportional to 24,300 and 53,097.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,300 : 53,097.75 = 53,097.75 : x
2. Step 2: Convert to fraction form
   24,300/53,097.75 = 53,097.75/x
3. Step 3: Cross multiply
   24,300x = 53,097.75 × 53,097.75
4. Step 4: Simplify right side
   24,300x = 2,819,371,055.06
5. Step 5: Solve for x
   x = 2,819,371,055.06/24,300
6. Step 6: Final answer
   x = 116,023.50