Finding the Third Proportional to 436.64 and 947.32

Step by Step Solution

1. Step 1: Write the proportion equation
   436.64 : 947.32 = 947.32 : x
2. Step 2: Convert to fraction form
   436.64/947.32 = 947.32/x
3. Step 3: Cross multiply
   436.64x = 947.32 × 947.32
4. Step 4: Simplify right side
   436.64x = 897,415.77
5. Step 5: Solve for x
   x = 897,415.77/436.64
6. Step 6: Final answer
   x = 2,055.27