Finding the Third Proportional to 33,465 and 53,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,465 : 53,815.50 = 53,815.50 : x
2. Step 2: Convert to fraction form
   33,465/53,815.50 = 53,815.50/x
3. Step 3: Cross multiply
   33,465x = 53,815.50 × 53,815.50
4. Step 4: Simplify right side
   33,465x = 2,896,108,040.25
5. Step 5: Solve for x
   x = 2,896,108,040.25/33,465
6. Step 6: Final answer
   x = 86,541.40