Finding the Third Proportional to 24,401 and 53,263.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,401 : 53,263.50 = 53,263.50 : x
2. Step 2: Convert to fraction form
   24,401/53,263.50 = 53,263.50/x
3. Step 3: Cross multiply
   24,401x = 53,263.50 × 53,263.50
4. Step 4: Simplify right side
   24,401x = 2,837,000,432.25
5. Step 5: Solve for x
   x = 2,837,000,432.25/24,401
6. Step 6: Final answer
   x = 116,265.74