Finding the Third Proportional to 17,822 and 24,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 24,916.50 = 24,916.50 : x
2. Step 2: Convert to fraction form
   17,822/24,916.50 = 24,916.50/x
3. Step 3: Cross multiply
   17,822x = 24,916.50 × 24,916.50
4. Step 4: Simplify right side
   17,822x = 620,831,972.25
5. Step 5: Solve for x
   x = 620,831,972.25/17,822
6. Step 6: Final answer
   x = 34,835.15