Finding the Third Proportional to 21,969 and 34,071.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,969 : 34,071.75 = 34,071.75 : x
2. Step 2: Convert to fraction form
   21,969/34,071.75 = 34,071.75/x
3. Step 3: Cross multiply
   21,969x = 34,071.75 × 34,071.75
4. Step 4: Simplify right side
   21,969x = 1,160,884,148.06
5. Step 5: Solve for x
   x = 1,160,884,148.06/21,969
6. Step 6: Final answer
   x = 52,841.92