Finding the Third Proportional to 22,659 and 34,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,659 : 34,096.50 = 34,096.50 : x
2. Step 2: Convert to fraction form
   22,659/34,096.50 = 34,096.50/x
3. Step 3: Cross multiply
   22,659x = 34,096.50 × 34,096.50
4. Step 4: Simplify right side
   22,659x = 1,162,571,312.25
5. Step 5: Solve for x
   x = 1,162,571,312.25/22,659
6. Step 6: Final answer
   x = 51,307.26