Finding the Third Proportional to 24,974 and 53,126.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,974 : 53,126.50 = 53,126.50 : x
2. Step 2: Convert to fraction form
   24,974/53,126.50 = 53,126.50/x
3. Step 3: Cross multiply
   24,974x = 53,126.50 × 53,126.50
4. Step 4: Simplify right side
   24,974x = 2,822,425,002.25
5. Step 5: Solve for x
   x = 2,822,425,002.25/24,974
6. Step 6: Final answer
   x = 113,014.54