Finding the Third Proportional to 34,566 and 74,046

Step by Step Solution

1. Step 1: Write the proportion equation
   34,566 : 74,046 = 74,046 : x
2. Step 2: Convert to fraction form
   34,566/74,046 = 74,046/x
3. Step 3: Cross multiply
   34,566x = 74,046 × 74,046
4. Step 4: Simplify right side
   34,566x = 5,482,810,116
5. Step 5: Solve for x
   x = 5,482,810,116/34,566
6. Step 6: Final answer
   x = 158,618.59