Finding the Third Proportional to 6,461 and 12,111.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,461 : 12,111.50 = 12,111.50 : x
2. Step 2: Convert to fraction form
   6,461/12,111.50 = 12,111.50/x
3. Step 3: Cross multiply
   6,461x = 12,111.50 × 12,111.50
4. Step 4: Simplify right side
   6,461x = 146,688,432.25
5. Step 5: Solve for x
   x = 146,688,432.25/6,461
6. Step 6: Final answer
   x = 22,703.67