Finding the Third Proportional to 9,102 and 12,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,102 : 12,892.50 = 12,892.50 : x
2. Step 2: Convert to fraction form
   9,102/12,892.50 = 12,892.50/x
3. Step 3: Cross multiply
   9,102x = 12,892.50 × 12,892.50
4. Step 4: Simplify right side
   9,102x = 166,216,556.25
5. Step 5: Solve for x
   x = 166,216,556.25/9,102
6. Step 6: Final answer
   x = 18,261.54