Finding the Third Proportional to 42,222 and 59,384.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,222 : 59,384.25 = 59,384.25 : x
2. Step 2: Convert to fraction form
   42,222/59,384.25 = 59,384.25/x
3. Step 3: Cross multiply
   42,222x = 59,384.25 × 59,384.25
4. Step 4: Simplify right side
   42,222x = 3,526,489,148.06
5. Step 5: Solve for x
   x = 3,526,489,148.06/42,222
6. Step 6: Final answer
   x = 83,522.55