Finding the Third Proportional to 31,532 and 47,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,532 : 47,302.50 = 47,302.50 : x
2. Step 2: Convert to fraction form
   31,532/47,302.50 = 47,302.50/x
3. Step 3: Cross multiply
   31,532x = 47,302.50 × 47,302.50
4. Step 4: Simplify right side
   31,532x = 2,237,526,506.25
5. Step 5: Solve for x
   x = 2,237,526,506.25/31,532
6. Step 6: Final answer
   x = 70,960.50