Finding the Third Proportional to 9,594 and 14,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,594 : 14,071.50 = 14,071.50 : x
2. Step 2: Convert to fraction form
   9,594/14,071.50 = 14,071.50/x
3. Step 3: Cross multiply
   9,594x = 14,071.50 × 14,071.50
4. Step 4: Simplify right side
   9,594x = 198,007,112.25
5. Step 5: Solve for x
   x = 198,007,112.25/9,594
6. Step 6: Final answer
   x = 20,638.64