Finding the Third Proportional to 77.50 and 145.63

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 145.63 = 145.63 : x
2. Step 2: Convert to fraction form
   77.50/145.63 = 145.63/x
3. Step 3: Cross multiply
   77.50x = 145.63 × 145.63
4. Step 4: Simplify right side
   77.50x = 21,206.64
5. Step 5: Solve for x
   x = 21,206.64/77.50
6. Step 6: Final answer
   x = 273.63