Finding the Third Proportional to 33,526 and 69,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,526 : 69,807.50 = 69,807.50 : x
2. Step 2: Convert to fraction form
   33,526/69,807.50 = 69,807.50/x
3. Step 3: Cross multiply
   33,526x = 69,807.50 × 69,807.50
4. Step 4: Simplify right side
   33,526x = 4,873,087,056.25
5. Step 5: Solve for x
   x = 4,873,087,056.25/33,526
6. Step 6: Final answer
   x = 145,352.47