Finding the Third Proportional to 53,581 and 75,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,581 : 75,475.50 = 75,475.50 : x
2. Step 2: Convert to fraction form
   53,581/75,475.50 = 75,475.50/x
3. Step 3: Cross multiply
   53,581x = 75,475.50 × 75,475.50
4. Step 4: Simplify right side
   53,581x = 5,696,551,100.25
5. Step 5: Solve for x
   x = 5,696,551,100.25/53,581
6. Step 6: Final answer
   x = 106,316.63