Finding the Third Proportional to 42,094 and 64,620

Step by Step Solution

1. Step 1: Write the proportion equation
   42,094 : 64,620 = 64,620 : x
2. Step 2: Convert to fraction form
   42,094/64,620 = 64,620/x
3. Step 3: Cross multiply
   42,094x = 64,620 × 64,620
4. Step 4: Simplify right side
   42,094x = 4,175,744,400
5. Step 5: Solve for x
   x = 4,175,744,400/42,094
6. Step 6: Final answer
   x = 99,200.47