Finding the Third Proportional to 24,025 and 35,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,025 : 35,941.50 = 35,941.50 : x
2. Step 2: Convert to fraction form
   24,025/35,941.50 = 35,941.50/x
3. Step 3: Cross multiply
   24,025x = 35,941.50 × 35,941.50
4. Step 4: Simplify right side
   24,025x = 1,291,791,422.25
5. Step 5: Solve for x
   x = 1,291,791,422.25/24,025
6. Step 6: Final answer
   x = 53,768.63