Finding the Third Proportional to 31,407.75 and 48,569.63

Step by Step Solution

1. Step 1: Write the proportion equation
   31,407.75 : 48,569.63 = 48,569.63 : x
2. Step 2: Convert to fraction form
   31,407.75/48,569.63 = 48,569.63/x
3. Step 3: Cross multiply
   31,407.75x = 48,569.63 × 48,569.63
4. Step 4: Simplify right side
   31,407.75x = 2,359,008,472.64
5. Step 5: Solve for x
   x = 2,359,008,472.64/31,407.75
6. Step 6: Final answer
   x = 75,109.12