Finding the Third Proportional to 7,848 and 17,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,848 : 17,077.50 = 17,077.50 : x
2. Step 2: Convert to fraction form
   7,848/17,077.50 = 17,077.50/x
3. Step 3: Cross multiply
   7,848x = 17,077.50 × 17,077.50
4. Step 4: Simplify right side
   7,848x = 291,641,006.25
5. Step 5: Solve for x
   x = 291,641,006.25/7,848
6. Step 6: Final answer
   x = 37,161.19