Finding the Third Proportional to 30,590.50 and 64,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,590.50 : 64,852.50 = 64,852.50 : x
2. Step 2: Convert to fraction form
   30,590.50/64,852.50 = 64,852.50/x
3. Step 3: Cross multiply
   30,590.50x = 64,852.50 × 64,852.50
4. Step 4: Simplify right side
   30,590.50x = 4,205,846,756.25
5. Step 5: Solve for x
   x = 4,205,846,756.25/30,590.50
6. Step 6: Final answer
   x = 137,488.66