Finding the Third Proportional to 34,534 and 53,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,534 : 53,326.50 = 53,326.50 : x
2. Step 2: Convert to fraction form
   34,534/53,326.50 = 53,326.50/x
3. Step 3: Cross multiply
   34,534x = 53,326.50 × 53,326.50
4. Step 4: Simplify right side
   34,534x = 2,843,715,602.25
5. Step 5: Solve for x
   x = 2,843,715,602.25/34,534
6. Step 6: Final answer
   x = 82,345.39