Finding the Third Proportional to 42,202.50 and 66,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,202.50 : 66,827.50 = 66,827.50 : x
2. Step 2: Convert to fraction form
   42,202.50/66,827.50 = 66,827.50/x
3. Step 3: Cross multiply
   42,202.50x = 66,827.50 × 66,827.50
4. Step 4: Simplify right side
   42,202.50x = 4,465,914,756.25
5. Step 5: Solve for x
   x = 4,465,914,756.25/42,202.50
6. Step 6: Final answer
   x = 105,821.09