Finding the Third Proportional to 17,526 and 38,223.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,526 : 38,223.75 = 38,223.75 : x
2. Step 2: Convert to fraction form
   17,526/38,223.75 = 38,223.75/x
3. Step 3: Cross multiply
   17,526x = 38,223.75 × 38,223.75
4. Step 4: Simplify right side
   17,526x = 1,461,055,064.06
5. Step 5: Solve for x
   x = 1,461,055,064.06/17,526
6. Step 6: Final answer
   x = 83,365.00