Finding the Third Proportional to 31,004 and 67,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,004 : 67,782.50 = 67,782.50 : x
2. Step 2: Convert to fraction form
   31,004/67,782.50 = 67,782.50/x
3. Step 3: Cross multiply
   31,004x = 67,782.50 × 67,782.50
4. Step 4: Simplify right side
   31,004x = 4,594,467,306.25
5. Step 5: Solve for x
   x = 4,594,467,306.25/31,004
6. Step 6: Final answer
   x = 148,189.50