Finding the Third Proportional to 31,191.89 and 67,638.59

Step by Step Solution

1. Step 1: Write the proportion equation
   31,191.89 : 67,638.59 = 67,638.59 : x
2. Step 2: Convert to fraction form
   31,191.89/67,638.59 = 67,638.59/x
3. Step 3: Cross multiply
   31,191.89x = 67,638.59 × 67,638.59
4. Step 4: Simplify right side
   31,191.89x = 4,574,978,307.62
5. Step 5: Solve for x
   x = 4,574,978,307.62/31,191.89
6. Step 6: Final answer
   x = 146,672.04