Finding the Third Proportional to 38,295 and 53,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,295 : 53,617.50 = 53,617.50 : x
2. Step 2: Convert to fraction form
   38,295/53,617.50 = 53,617.50/x
3. Step 3: Cross multiply
   38,295x = 53,617.50 × 53,617.50
4. Step 4: Simplify right side
   38,295x = 2,874,836,306.25
5. Step 5: Solve for x
   x = 2,874,836,306.25/38,295
6. Step 6: Final answer
   x = 75,070.80