Finding the Third Proportional to 27,598.50 and 59,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,598.50 : 59,572.50 = 59,572.50 : x
2. Step 2: Convert to fraction form
   27,598.50/59,572.50 = 59,572.50/x
3. Step 3: Cross multiply
   27,598.50x = 59,572.50 × 59,572.50
4. Step 4: Simplify right side
   27,598.50x = 3,548,882,756.25
5. Step 5: Solve for x
   x = 3,548,882,756.25/27,598.50
6. Step 6: Final answer
   x = 128,589.70