Finding the Third Proportional to 42,584 and 64,468

Step by Step Solution

1. Step 1: Write the proportion equation
   42,584 : 64,468 = 64,468 : x
2. Step 2: Convert to fraction form
   42,584/64,468 = 64,468/x
3. Step 3: Cross multiply
   42,584x = 64,468 × 64,468
4. Step 4: Simplify right side
   42,584x = 4,156,123,024
5. Step 5: Solve for x
   x = 4,156,123,024/42,584
6. Step 6: Final answer
   x = 97,598.23