Finding the Third Proportional to 10,706.63 and 22,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,706.63 : 22,810.50 = 22,810.50 : x
2. Step 2: Convert to fraction form
   10,706.63/22,810.50 = 22,810.50/x
3. Step 3: Cross multiply
   10,706.63x = 22,810.50 × 22,810.50
4. Step 4: Simplify right side
   10,706.63x = 520,318,910.25
5. Step 5: Solve for x
   x = 520,318,910.25/10,706.63
6. Step 6: Final answer
   x = 48,597.85