Finding the Third Proportional to 31,396.50 and 48,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,396.50 : 48,838.50 = 48,838.50 : x
2. Step 2: Convert to fraction form
   31,396.50/48,838.50 = 48,838.50/x
3. Step 3: Cross multiply
   31,396.50x = 48,838.50 × 48,838.50
4. Step 4: Simplify right side
   31,396.50x = 2,385,199,082.25
5. Step 5: Solve for x
   x = 2,385,199,082.25/31,396.50
6. Step 6: Final answer
   x = 75,970.22