Finding the Third Proportional to 32,114 and 69,784

Step by Step Solution

1. Step 1: Write the proportion equation
   32,114 : 69,784 = 69,784 : x
2. Step 2: Convert to fraction form
   32,114/69,784 = 69,784/x
3. Step 3: Cross multiply
   32,114x = 69,784 × 69,784
4. Step 4: Simplify right side
   32,114x = 4,869,806,656
5. Step 5: Solve for x
   x = 4,869,806,656/32,114
6. Step 6: Final answer
   x = 151,641.24