Finding the Third Proportional to 30,557.50 and 45,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,557.50 : 45,647.50 = 45,647.50 : x
2. Step 2: Convert to fraction form
   30,557.50/45,647.50 = 45,647.50/x
3. Step 3: Cross multiply
   30,557.50x = 45,647.50 × 45,647.50
4. Step 4: Simplify right side
   30,557.50x = 2,083,694,256.25
5. Step 5: Solve for x
   x = 2,083,694,256.25/30,557.50
6. Step 6: Final answer
   x = 68,189.29