Finding the Third Proportional to 10,706 and 16,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706 : 16,312.50 = 16,312.50 : x
2. Step 2: Convert to fraction form
   10,706/16,312.50 = 16,312.50/x
3. Step 3: Cross multiply
   10,706x = 16,312.50 × 16,312.50
4. Step 4: Simplify right side
   10,706x = 266,097,656.25
5. Step 5: Solve for x
   x = 266,097,656.25/10,706
6. Step 6: Final answer
   x = 24,855.00