Finding the Third Proportional to 10,656 and 19,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,656 : 19,777.50 = 19,777.50 : x
2. Step 2: Convert to fraction form
   10,656/19,777.50 = 19,777.50/x
3. Step 3: Cross multiply
   10,656x = 19,777.50 × 19,777.50
4. Step 4: Simplify right side
   10,656x = 391,149,506.25
5. Step 5: Solve for x
   x = 391,149,506.25/10,656
6. Step 6: Final answer
   x = 36,706.97