Finding the Third Proportional to 30,897 and 42,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,897 : 42,115.50 = 42,115.50 : x
2. Step 2: Convert to fraction form
   30,897/42,115.50 = 42,115.50/x
3. Step 3: Cross multiply
   30,897x = 42,115.50 × 42,115.50
4. Step 4: Simplify right side
   30,897x = 1,773,715,340.25
5. Step 5: Solve for x
   x = 1,773,715,340.25/30,897
6. Step 6: Final answer
   x = 57,407.36