Finding the Third Proportional to 27,870 and 43,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,870 : 43,654.50 = 43,654.50 : x
2. Step 2: Convert to fraction form
   27,870/43,654.50 = 43,654.50/x
3. Step 3: Cross multiply
   27,870x = 43,654.50 × 43,654.50
4. Step 4: Simplify right side
   27,870x = 1,905,715,370.25
5. Step 5: Solve for x
   x = 1,905,715,370.25/27,870
6. Step 6: Final answer
   x = 68,378.74