Finding the Third Proportional to 14,606.50 and 21,438.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,606.50 : 21,438.75 = 21,438.75 : x
2. Step 2: Convert to fraction form
   14,606.50/21,438.75 = 21,438.75/x
3. Step 3: Cross multiply
   14,606.50x = 21,438.75 × 21,438.75
4. Step 4: Simplify right side
   14,606.50x = 459,620,001.56
5. Step 5: Solve for x
   x = 459,620,001.56/14,606.50
6. Step 6: Final answer
   x = 31,466.81