Finding the Third Proportional to 40,815 and 61,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,815 : 61,838.50 = 61,838.50 : x
2. Step 2: Convert to fraction form
   40,815/61,838.50 = 61,838.50/x
3. Step 3: Cross multiply
   40,815x = 61,838.50 × 61,838.50
4. Step 4: Simplify right side
   40,815x = 3,824,000,082.25
5. Step 5: Solve for x
   x = 3,824,000,082.25/40,815
6. Step 6: Final answer
   x = 93,691.05