Finding the Third Proportional to 19,729.50 and 42,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,729.50 : 42,577.50 = 42,577.50 : x
2. Step 2: Convert to fraction form
   19,729.50/42,577.50 = 42,577.50/x
3. Step 3: Cross multiply
   19,729.50x = 42,577.50 × 42,577.50
4. Step 4: Simplify right side
   19,729.50x = 1,812,843,506.25
5. Step 5: Solve for x
   x = 1,812,843,506.25/19,729.50
6. Step 6: Final answer
   x = 91,884.92