Finding the Third Proportional to 14,582 and 22,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,582 : 22,622.50 = 22,622.50 : x
2. Step 2: Convert to fraction form
   14,582/22,622.50 = 22,622.50/x
3. Step 3: Cross multiply
   14,582x = 22,622.50 × 22,622.50
4. Step 4: Simplify right side
   14,582x = 511,777,506.25
5. Step 5: Solve for x
   x = 511,777,506.25/14,582
6. Step 6: Final answer
   x = 35,096.52