Finding the Third Proportional to 31,808.25 and 69,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,808.25 : 69,097.50 = 69,097.50 : x
2. Step 2: Convert to fraction form
   31,808.25/69,097.50 = 69,097.50/x
3. Step 3: Cross multiply
   31,808.25x = 69,097.50 × 69,097.50
4. Step 4: Simplify right side
   31,808.25x = 4,774,464,506.25
5. Step 5: Solve for x
   x = 4,774,464,506.25/31,808.25
6. Step 6: Final answer
   x = 150,101.45