Finding the Third Proportional to 30,219.75 and 64,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,219.75 : 64,597.50 = 64,597.50 : x
2. Step 2: Convert to fraction form
   30,219.75/64,597.50 = 64,597.50/x
3. Step 3: Cross multiply
   30,219.75x = 64,597.50 × 64,597.50
4. Step 4: Simplify right side
   30,219.75x = 4,172,837,006.25
5. Step 5: Solve for x
   x = 4,172,837,006.25/30,219.75
6. Step 6: Final answer
   x = 138,083.11