Finding the Third Proportional to 31,312 and 65,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,312 : 65,211.50 = 65,211.50 : x
2. Step 2: Convert to fraction form
   31,312/65,211.50 = 65,211.50/x
3. Step 3: Cross multiply
   31,312x = 65,211.50 × 65,211.50
4. Step 4: Simplify right side
   31,312x = 4,252,539,732.25
5. Step 5: Solve for x
   x = 4,252,539,732.25/31,312
6. Step 6: Final answer
   x = 135,811.82