Finding the Third Proportional to 12,194 and 16,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,194 : 16,562.50 = 16,562.50 : x
2. Step 2: Convert to fraction form
   12,194/16,562.50 = 16,562.50/x
3. Step 3: Cross multiply
   12,194x = 16,562.50 × 16,562.50
4. Step 4: Simplify right side
   12,194x = 274,316,406.25
5. Step 5: Solve for x
   x = 274,316,406.25/12,194
6. Step 6: Final answer
   x = 22,496.01