Finding the Third Proportional to 783.50 and 807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   783.50 : 807.50 = 807.50 : x
2. Step 2: Convert to fraction form
   783.50/807.50 = 807.50/x
3. Step 3: Cross multiply
   783.50x = 807.50 × 807.50
4. Step 4: Simplify right side
   783.50x = 652,056.25
5. Step 5: Solve for x
   x = 652,056.25/783.50
6. Step 6: Final answer
   x = 832.24