Finding the Third Proportional to 32,470 and 69,795.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,470 : 69,795.50 = 69,795.50 : x
2. Step 2: Convert to fraction form
   32,470/69,795.50 = 69,795.50/x
3. Step 3: Cross multiply
   32,470x = 69,795.50 × 69,795.50
4. Step 4: Simplify right side
   32,470x = 4,871,411,820.25
5. Step 5: Solve for x
   x = 4,871,411,820.25/32,470
6. Step 6: Final answer
   x = 150,028.08