Finding the Third Proportional to 31,767.19 and 67,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,767.19 : 67,756.50 = 67,756.50 : x
2. Step 2: Convert to fraction form
   31,767.19/67,756.50 = 67,756.50/x
3. Step 3: Cross multiply
   31,767.19x = 67,756.50 × 67,756.50
4. Step 4: Simplify right side
   31,767.19x = 4,590,943,292.25
5. Step 5: Solve for x
   x = 4,590,943,292.25/31,767.19
6. Step 6: Final answer
   x = 144,518.41