Finding the Third Proportional to 10,737 and 13,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,737 : 13,837.50 = 13,837.50 : x
2. Step 2: Convert to fraction form
   10,737/13,837.50 = 13,837.50/x
3. Step 3: Cross multiply
   10,737x = 13,837.50 × 13,837.50
4. Step 4: Simplify right side
   10,737x = 191,476,406.25
5. Step 5: Solve for x
   x = 191,476,406.25/10,737
6. Step 6: Final answer
   x = 17,833.32