Finding the Third Proportional to 42,970 and 64,768

Step by Step Solution

1. Step 1: Write the proportion equation
   42,970 : 64,768 = 64,768 : x
2. Step 2: Convert to fraction form
   42,970/64,768 = 64,768/x
3. Step 3: Cross multiply
   42,970x = 64,768 × 64,768
4. Step 4: Simplify right side
   42,970x = 4,194,893,824
5. Step 5: Solve for x
   x = 4,194,893,824/42,970
6. Step 6: Final answer
   x = 97,623.78