Finding the Third Proportional to 1,056.22 and 1,656.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.22 : 1,656.84 = 1,656.84 : x
2. Step 2: Convert to fraction form
   1,056.22/1,656.84 = 1,656.84/x
3. Step 3: Cross multiply
   1,056.22x = 1,656.84 × 1,656.84
4. Step 4: Simplify right side
   1,056.22x = 2,745,123.93
5. Step 5: Solve for x
   x = 2,745,123.93/1,056.22
6. Step 6: Final answer
   x = 2,599.00