Finding the Third Proportional to 27,197 and 42,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,197 : 42,025.50 = 42,025.50 : x
2. Step 2: Convert to fraction form
   27,197/42,025.50 = 42,025.50/x
3. Step 3: Cross multiply
   27,197x = 42,025.50 × 42,025.50
4. Step 4: Simplify right side
   27,197x = 1,766,142,650.25
5. Step 5: Solve for x
   x = 1,766,142,650.25/27,197
6. Step 6: Final answer
   x = 64,938.88