Finding the Third Proportional to 25,695 and 38,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,695 : 38,368.50 = 38,368.50 : x
2. Step 2: Convert to fraction form
   25,695/38,368.50 = 38,368.50/x
3. Step 3: Cross multiply
   25,695x = 38,368.50 × 38,368.50
4. Step 4: Simplify right side
   25,695x = 1,472,141,792.25
5. Step 5: Solve for x
   x = 1,472,141,792.25/25,695
6. Step 6: Final answer
   x = 57,292.93