Finding the Third Proportional to 32,410 and 67,066

Step by Step Solution

1. Step 1: Write the proportion equation
   32,410 : 67,066 = 67,066 : x
2. Step 2: Convert to fraction form
   32,410/67,066 = 67,066/x
3. Step 3: Cross multiply
   32,410x = 67,066 × 67,066
4. Step 4: Simplify right side
   32,410x = 4,497,848,356
5. Step 5: Solve for x
   x = 4,497,848,356/32,410
6. Step 6: Final answer
   x = 138,779.65