Finding the Third Proportional to 9,156 and 13,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,156 : 13,387.50 = 13,387.50 : x
2. Step 2: Convert to fraction form
   9,156/13,387.50 = 13,387.50/x
3. Step 3: Cross multiply
   9,156x = 13,387.50 × 13,387.50
4. Step 4: Simplify right side
   9,156x = 179,225,156.25
5. Step 5: Solve for x
   x = 179,225,156.25/9,156
6. Step 6: Final answer
   x = 19,574.61