Finding the Third Proportional to 42,084 and 64,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,084 : 64,681.50 = 64,681.50 : x
2. Step 2: Convert to fraction form
   42,084/64,681.50 = 64,681.50/x
3. Step 3: Cross multiply
   42,084x = 64,681.50 × 64,681.50
4. Step 4: Simplify right side
   42,084x = 4,183,696,442.25
5. Step 5: Solve for x
   x = 4,183,696,442.25/42,084
6. Step 6: Final answer
   x = 99,412.99