Finding the Third Proportional to 31,964 and 74,656

Step by Step Solution

1. Step 1: Write the proportion equation
   31,964 : 74,656 = 74,656 : x
2. Step 2: Convert to fraction form
   31,964/74,656 = 74,656/x
3. Step 3: Cross multiply
   31,964x = 74,656 × 74,656
4. Step 4: Simplify right side
   31,964x = 5,573,518,336
5. Step 5: Solve for x
   x = 5,573,518,336/31,964
6. Step 6: Final answer
   x = 174,368.61