Finding the Third Proportional to 33,534 and 35,943.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,534 : 35,943.75 = 35,943.75 : x
2. Step 2: Convert to fraction form
   33,534/35,943.75 = 35,943.75/x
3. Step 3: Cross multiply
   33,534x = 35,943.75 × 35,943.75
4. Step 4: Simplify right side
   33,534x = 1,291,953,164.06
5. Step 5: Solve for x
   x = 1,291,953,164.06/33,534
6. Step 6: Final answer
   x = 38,526.66