Finding the Third Proportional to 42,538.50 and 59,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,538.50 : 59,467.50 = 59,467.50 : x
2. Step 2: Convert to fraction form
   42,538.50/59,467.50 = 59,467.50/x
3. Step 3: Cross multiply
   42,538.50x = 59,467.50 × 59,467.50
4. Step 4: Simplify right side
   42,538.50x = 3,536,383,556.25
5. Step 5: Solve for x
   x = 3,536,383,556.25/42,538.50
6. Step 6: Final answer
   x = 83,133.72