Finding the Third Proportional to 24,789 and 34,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,789 : 34,672.50 = 34,672.50 : x
2. Step 2: Convert to fraction form
   24,789/34,672.50 = 34,672.50/x
3. Step 3: Cross multiply
   24,789x = 34,672.50 × 34,672.50
4. Step 4: Simplify right side
   24,789x = 1,202,182,256.25
5. Step 5: Solve for x
   x = 1,202,182,256.25/24,789
6. Step 6: Final answer
   x = 48,496.60