Finding the Third Proportional to 31,521 and 47,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,521 : 47,656.50 = 47,656.50 : x
2. Step 2: Convert to fraction form
   31,521/47,656.50 = 47,656.50/x
3. Step 3: Cross multiply
   31,521x = 47,656.50 × 47,656.50
4. Step 4: Simplify right side
   31,521x = 2,271,141,992.25
5. Step 5: Solve for x
   x = 2,271,141,992.25/31,521
6. Step 6: Final answer
   x = 72,051.71