Finding the Third Proportional to 17,832.50 and 27,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,832.50 : 27,597.50 = 27,597.50 : x
2. Step 2: Convert to fraction form
   17,832.50/27,597.50 = 27,597.50/x
3. Step 3: Cross multiply
   17,832.50x = 27,597.50 × 27,597.50
4. Step 4: Simplify right side
   17,832.50x = 761,622,006.25
5. Step 5: Solve for x
   x = 761,622,006.25/17,832.50
6. Step 6: Final answer
   x = 42,709.77