Finding the Third Proportional to 42,894 and 64,136.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,894 : 64,136.25 = 64,136.25 : x
2. Step 2: Convert to fraction form
   42,894/64,136.25 = 64,136.25/x
3. Step 3: Cross multiply
   42,894x = 64,136.25 × 64,136.25
4. Step 4: Simplify right side
   42,894x = 4,113,458,564.06
5. Step 5: Solve for x
   x = 4,113,458,564.06/42,894
6. Step 6: Final answer
   x = 95,898.23