Finding the Third Proportional to 42,870 and 57,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,870 : 57,829.50 = 57,829.50 : x
2. Step 2: Convert to fraction form
   42,870/57,829.50 = 57,829.50/x
3. Step 3: Cross multiply
   42,870x = 57,829.50 × 57,829.50
4. Step 4: Simplify right side
   42,870x = 3,344,251,070.25
5. Step 5: Solve for x
   x = 3,344,251,070.25/42,870
6. Step 6: Final answer
   x = 78,009.12