Finding the Third Proportional to 30,192 and 42,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,192 : 42,946.50 = 42,946.50 : x
2. Step 2: Convert to fraction form
   30,192/42,946.50 = 42,946.50/x
3. Step 3: Cross multiply
   30,192x = 42,946.50 × 42,946.50
4. Step 4: Simplify right side
   30,192x = 1,844,401,862.25
5. Step 5: Solve for x
   x = 1,844,401,862.25/30,192
6. Step 6: Final answer
   x = 61,089.09