Finding the Third Proportional to 31,969 and 66,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,969 : 66,543.50 = 66,543.50 : x
2. Step 2: Convert to fraction form
   31,969/66,543.50 = 66,543.50/x
3. Step 3: Cross multiply
   31,969x = 66,543.50 × 66,543.50
4. Step 4: Simplify right side
   31,969x = 4,428,037,392.25
5. Step 5: Solve for x
   x = 4,428,037,392.25/31,969
6. Step 6: Final answer
   x = 138,510.35