Finding the Third Proportional to 30,678.75 and 67,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,678.75 : 67,567.50 = 67,567.50 : x
2. Step 2: Convert to fraction form
   30,678.75/67,567.50 = 67,567.50/x
3. Step 3: Cross multiply
   30,678.75x = 67,567.50 × 67,567.50
4. Step 4: Simplify right side
   30,678.75x = 4,565,367,056.25
5. Step 5: Solve for x
   x = 4,565,367,056.25/30,678.75
6. Step 6: Final answer
   x = 148,812.03