Finding the Third Proportional to 6,161 and 12,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,161 : 12,047.50 = 12,047.50 : x
2. Step 2: Convert to fraction form
   6,161/12,047.50 = 12,047.50/x
3. Step 3: Cross multiply
   6,161x = 12,047.50 × 12,047.50
4. Step 4: Simplify right side
   6,161x = 145,142,256.25
5. Step 5: Solve for x
   x = 145,142,256.25/6,161
6. Step 6: Final answer
   x = 23,558.23