Finding the Third Proportional to 1,312.50 and 1,751.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,312.50 : 1,751.63 = 1,751.63 : x
2. Step 2: Convert to fraction form
   1,312.50/1,751.63 = 1,751.63/x
3. Step 3: Cross multiply
   1,312.50x = 1,751.63 × 1,751.63
4. Step 4: Simplify right side
   1,312.50x = 3,068,190.14
5. Step 5: Solve for x
   x = 3,068,190.14/1,312.50
6. Step 6: Final answer
   x = 2,337.67