Finding the Third Proportional to 31,438.50 and 67,776

Step by Step Solution

1. Step 1: Write the proportion equation
   31,438.50 : 67,776 = 67,776 : x
2. Step 2: Convert to fraction form
   31,438.50/67,776 = 67,776/x
3. Step 3: Cross multiply
   31,438.50x = 67,776 × 67,776
4. Step 4: Simplify right side
   31,438.50x = 4,593,586,176
5. Step 5: Solve for x
   x = 4,593,586,176/31,438.50
6. Step 6: Final answer
   x = 146,113.40