Finding the Third Proportional to 31,412 and 48,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,412 : 48,575.50 = 48,575.50 : x
2. Step 2: Convert to fraction form
   31,412/48,575.50 = 48,575.50/x
3. Step 3: Cross multiply
   31,412x = 48,575.50 × 48,575.50
4. Step 4: Simplify right side
   31,412x = 2,359,579,200.25
5. Step 5: Solve for x
   x = 2,359,579,200.25/31,412
6. Step 6: Final answer
   x = 75,117.13