Finding the Third Proportional to 38,475 and 58,223.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,475 : 58,223.25 = 58,223.25 : x
2. Step 2: Convert to fraction form
   38,475/58,223.25 = 58,223.25/x
3. Step 3: Cross multiply
   38,475x = 58,223.25 × 58,223.25
4. Step 4: Simplify right side
   38,475x = 3,389,946,840.56
5. Step 5: Solve for x
   x = 3,389,946,840.56/38,475
6. Step 6: Final answer
   x = 88,107.78