Finding the Third Proportional to 27,225 and 42,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,225 : 42,421.50 = 42,421.50 : x
2. Step 2: Convert to fraction form
   27,225/42,421.50 = 42,421.50/x
3. Step 3: Cross multiply
   27,225x = 42,421.50 × 42,421.50
4. Step 4: Simplify right side
   27,225x = 1,799,583,662.25
5. Step 5: Solve for x
   x = 1,799,583,662.25/27,225
6. Step 6: Final answer
   x = 66,100.41