Finding the Third Proportional to 32,088 and 69,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,088 : 69,769.50 = 69,769.50 : x
2. Step 2: Convert to fraction form
   32,088/69,769.50 = 69,769.50/x
3. Step 3: Cross multiply
   32,088x = 69,769.50 × 69,769.50
4. Step 4: Simplify right side
   32,088x = 4,867,783,130.25
5. Step 5: Solve for x
   x = 4,867,783,130.25/32,088
6. Step 6: Final answer
   x = 151,701.04