Finding the Third Proportional to 24,769.50 and 53,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,769.50 : 53,575.50 = 53,575.50 : x
2. Step 2: Convert to fraction form
   24,769.50/53,575.50 = 53,575.50/x
3. Step 3: Cross multiply
   24,769.50x = 53,575.50 × 53,575.50
4. Step 4: Simplify right side
   24,769.50x = 2,870,334,200.25
5. Step 5: Solve for x
   x = 2,870,334,200.25/24,769.50
6. Step 6: Final answer
   x = 115,881.80