Finding the Third Proportional to 1,051 and 1,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,051 : 1,402.50 = 1,402.50 : x
2. Step 2: Convert to fraction form
   1,051/1,402.50 = 1,402.50/x
3. Step 3: Cross multiply
   1,051x = 1,402.50 × 1,402.50
4. Step 4: Simplify right side
   1,051x = 1,967,006.25
5. Step 5: Solve for x
   x = 1,967,006.25/1,051
6. Step 6: Final answer
   x = 1,871.56