Finding the Third Proportional to 38,592 and 58,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,592 : 58,297.50 = 58,297.50 : x
2. Step 2: Convert to fraction form
   38,592/58,297.50 = 58,297.50/x
3. Step 3: Cross multiply
   38,592x = 58,297.50 × 58,297.50
4. Step 4: Simplify right side
   38,592x = 3,398,598,506.25
5. Step 5: Solve for x
   x = 3,398,598,506.25/38,592
6. Step 6: Final answer
   x = 88,064.85