Finding the Third Proportional to 61,409 and 90,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,409 : 90,101.50 = 90,101.50 : x
2. Step 2: Convert to fraction form
   61,409/90,101.50 = 90,101.50/x
3. Step 3: Cross multiply
   61,409x = 90,101.50 × 90,101.50
4. Step 4: Simplify right side
   61,409x = 8,118,280,302.25
5. Step 5: Solve for x
   x = 8,118,280,302.25/61,409
6. Step 6: Final answer
   x = 132,200.17