Finding the Third Proportional to 24,207 and 35,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,207 : 35,662.50 = 35,662.50 : x
2. Step 2: Convert to fraction form
   24,207/35,662.50 = 35,662.50/x
3. Step 3: Cross multiply
   24,207x = 35,662.50 × 35,662.50
4. Step 4: Simplify right side
   24,207x = 1,271,813,906.25
5. Step 5: Solve for x
   x = 1,271,813,906.25/24,207
6. Step 6: Final answer
   x = 52,539.10