Finding the Third Proportional to 34,815 and 53,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,815 : 53,038.50 = 53,038.50 : x
2. Step 2: Convert to fraction form
   34,815/53,038.50 = 53,038.50/x
3. Step 3: Cross multiply
   34,815x = 53,038.50 × 53,038.50
4. Step 4: Simplify right side
   34,815x = 2,813,082,482.25
5. Step 5: Solve for x
   x = 2,813,082,482.25/34,815
6. Step 6: Final answer
   x = 80,800.88