Finding the Third Proportional to 11,402 and 16,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,402 : 16,498.50 = 16,498.50 : x
2. Step 2: Convert to fraction form
   11,402/16,498.50 = 16,498.50/x
3. Step 3: Cross multiply
   11,402x = 16,498.50 × 16,498.50
4. Step 4: Simplify right side
   11,402x = 272,200,502.25
5. Step 5: Solve for x
   x = 272,200,502.25/11,402
6. Step 6: Final answer
   x = 23,873.05