Finding the Third Proportional to 32,964 and 51,010

Step by Step Solution

1. Step 1: Write the proportion equation
   32,964 : 51,010 = 51,010 : x
2. Step 2: Convert to fraction form
   32,964/51,010 = 51,010/x
3. Step 3: Cross multiply
   32,964x = 51,010 × 51,010
4. Step 4: Simplify right side
   32,964x = 2,602,020,100
5. Step 5: Solve for x
   x = 2,602,020,100/32,964
6. Step 6: Final answer
   x = 78,935.21