Finding the Third Proportional to 61.50 and 89.63

Step by Step Solution

1. Step 1: Write the proportion equation
   61.50 : 89.63 = 89.63 : x
2. Step 2: Convert to fraction form
   61.50/89.63 = 89.63/x
3. Step 3: Cross multiply
   61.50x = 89.63 × 89.63
4. Step 4: Simplify right side
   61.50x = 8,032.64
5. Step 5: Solve for x
   x = 8,032.64/61.50
6. Step 6: Final answer
   x = 130.61