Finding the Third Proportional to 22.50 and 59.13

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 59.13 = 59.13 : x
2. Step 2: Convert to fraction form
   22.50/59.13 = 59.13/x
3. Step 3: Cross multiply
   22.50x = 59.13 × 59.13
4. Step 4: Simplify right side
   22.50x = 3,495.77
5. Step 5: Solve for x
   x = 3,495.77/22.50
6. Step 6: Final answer
   x = 155.37