Finding the Third Proportional to 43,677 and 67,140

Step by Step Solution

1. Step 1: Write the proportion equation
   43,677 : 67,140 = 67,140 : x
2. Step 2: Convert to fraction form
   43,677/67,140 = 67,140/x
3. Step 3: Cross multiply
   43,677x = 67,140 × 67,140
4. Step 4: Simplify right side
   43,677x = 4,507,779,600
5. Step 5: Solve for x
   x = 4,507,779,600/43,677
6. Step 6: Final answer
   x = 103,207.17