Finding the Third Proportional to 12,528 and 19,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,528 : 19,837.50 = 19,837.50 : x
2. Step 2: Convert to fraction form
   12,528/19,837.50 = 19,837.50/x
3. Step 3: Cross multiply
   12,528x = 19,837.50 × 19,837.50
4. Step 4: Simplify right side
   12,528x = 393,526,406.25
5. Step 5: Solve for x
   x = 393,526,406.25/12,528
6. Step 6: Final answer
   x = 31,411.75