Finding the Third Proportional to 32,133 and 69,200.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,133 : 69,200.25 = 69,200.25 : x
2. Step 2: Convert to fraction form
   32,133/69,200.25 = 69,200.25/x
3. Step 3: Cross multiply
   32,133x = 69,200.25 × 69,200.25
4. Step 4: Simplify right side
   32,133x = 4,788,674,600.06
5. Step 5: Solve for x
   x = 4,788,674,600.06/32,133
6. Step 6: Final answer
   x = 149,026.69