Finding the Third Proportional to 24,528 and 52,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,528 : 52,942.50 = 52,942.50 : x
2. Step 2: Convert to fraction form
   24,528/52,942.50 = 52,942.50/x
3. Step 3: Cross multiply
   24,528x = 52,942.50 × 52,942.50
4. Step 4: Simplify right side
   24,528x = 2,802,908,306.25
5. Step 5: Solve for x
   x = 2,802,908,306.25/24,528
6. Step 6: Final answer
   x = 114,273.82