Finding the Third Proportional to 27,207 and 42,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,207 : 42,727.50 = 42,727.50 : x
2. Step 2: Convert to fraction form
   27,207/42,727.50 = 42,727.50/x
3. Step 3: Cross multiply
   27,207x = 42,727.50 × 42,727.50
4. Step 4: Simplify right side
   27,207x = 1,825,639,256.25
5. Step 5: Solve for x
   x = 1,825,639,256.25/27,207
6. Step 6: Final answer
   x = 67,101.82