Finding the Third Proportional to 62.50 and 95.38

Step by Step Solution

1. Step 1: Write the proportion equation
   62.50 : 95.38 = 95.38 : x
2. Step 2: Convert to fraction form
   62.50/95.38 = 95.38/x
3. Step 3: Cross multiply
   62.50x = 95.38 × 95.38
4. Step 4: Simplify right side
   62.50x = 9,096.39
5. Step 5: Solve for x
   x = 9,096.39/62.50
6. Step 6: Final answer
   x = 145.54