Finding the Third Proportional to 38,175 and 59,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,175 : 59,368.50 = 59,368.50 : x
2. Step 2: Convert to fraction form
   38,175/59,368.50 = 59,368.50/x
3. Step 3: Cross multiply
   38,175x = 59,368.50 × 59,368.50
4. Step 4: Simplify right side
   38,175x = 3,524,618,792.25
5. Step 5: Solve for x
   x = 3,524,618,792.25/38,175
6. Step 6: Final answer
   x = 92,327.93