Finding the Third Proportional to 34,865 and 53,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,865 : 53,344.50 = 53,344.50 : x
2. Step 2: Convert to fraction form
   34,865/53,344.50 = 53,344.50/x
3. Step 3: Cross multiply
   34,865x = 53,344.50 × 53,344.50
4. Step 4: Simplify right side
   34,865x = 2,845,635,680.25
5. Step 5: Solve for x
   x = 2,845,635,680.25/34,865
6. Step 6: Final answer
   x = 81,618.69