Finding the Third Proportional to 1,175.63 and 1,861.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.63 : 1,861.31 = 1,861.31 : x
2. Step 2: Convert to fraction form
   1,175.63/1,861.31 = 1,861.31/x
3. Step 3: Cross multiply
   1,175.63x = 1,861.31 × 1,861.31
4. Step 4: Simplify right side
   1,175.63x = 3,464,484.22
5. Step 5: Solve for x
   x = 3,464,484.22/1,175.63
6. Step 6: Final answer
   x = 2,946.93