Finding the Third Proportional to 23,213 and 35,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,213 : 35,363.50 = 35,363.50 : x
2. Step 2: Convert to fraction form
   23,213/35,363.50 = 35,363.50/x
3. Step 3: Cross multiply
   23,213x = 35,363.50 × 35,363.50
4. Step 4: Simplify right side
   23,213x = 1,250,577,132.25
5. Step 5: Solve for x
   x = 1,250,577,132.25/23,213
6. Step 6: Final answer
   x = 53,874.00