Finding the Third Proportional to 32,511.50 and 69,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,511.50 : 69,872.50 = 69,872.50 : x
2. Step 2: Convert to fraction form
   32,511.50/69,872.50 = 69,872.50/x
3. Step 3: Cross multiply
   32,511.50x = 69,872.50 × 69,872.50
4. Step 4: Simplify right side
   32,511.50x = 4,882,166,256.25
5. Step 5: Solve for x
   x = 4,882,166,256.25/32,511.50
6. Step 6: Final answer
   x = 150,167.36